Special Type Of Topological Spaces Using 0 N

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Special Type of Topological Spaces Using [0, n)

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 : 1599733331
Total Pages : 230 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Special Type of Topological Spaces Using [0, n) by : W. B. Vasantha Kandasamy

Download or read book Special Type of Topological Spaces Using [0, n) written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2015-02-15 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book authors for the first time introduce the notion of special type of topological spaces using the interval [0, n). They are very different from the usual topological spaces. Algebraic structure using the interval [0, n) have been systemically dealt by the authors. Now using those algebraic structures in this book authors introduce the notion of special type of topological spaces. Using the super subset interval semigroup special type of super interval topological spaces are built.

Elements of Point Set Topology

Author : John D. Baum
Publisher : Courier Corporation
ISBN 13 : 0486668266
Total Pages : 164 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Elements of Point Set Topology by : John D. Baum

Download or read book Elements of Point Set Topology written by John D. Baum and published by Courier Corporation. This book was released on 1991-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.

Tame Topology and O-minimal Structures

Author : Lou Van den Dries
Publisher : Cambridge University Press
ISBN 13 : 0521598389
Total Pages : 196 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Tame Topology and O-minimal Structures by : Lou Van den Dries

Download or read book Tame Topology and O-minimal Structures written by Lou Van den Dries and published by Cambridge University Press. This book was released on 1998-05-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes give a self-contained treatment of the theory of o-minimal structures from a geometric and topological viewpoint, assuming only rudimentary algebra and analysis. This book should be of interest to model theorists, analytic geometers and topologists.

Young Measures on Topological Spaces

Author : Charles Castaing
Publisher : Springer Science & Business Media
ISBN 13 : 1402019637
Total Pages : 327 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Young Measures on Topological Spaces by : Charles Castaing

Download or read book Young Measures on Topological Spaces written by Charles Castaing and published by Springer Science & Business Media. This book was released on 2004-07-14 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: Young measures are now a widely used tool in the Calculus of Variations, in Control Theory, in Probability Theory and other fields. They are known under different names such as "relaxed controls", "fuzzy random variables" and many other names. This monograph provides a unified presentation of the theory, along with new results and applications in various fields. It can serve as a reference on the subject. Young measures are presented in a general setting which includes finite and for the first time infinite dimensional spaces: the fields of applications of Young measures (Control Theory, Calculus of Variations, Probability Theory...) are often concerned with problems in infinite dimensional settings. The theory of Young measures is now well understood in a finite dimensional setting, but open problems remain in the infinite dimensional case. We provide several new results in the general frame, which are new even in the finite dimensional setting, such as characterizations of convergence in measure of Young measures (Chapter 3) and compactness criteria (Chapter 4).These results are established under a different form (and with fewer details and developments) in recent papers by the same authors. We also provide new applications to Visintin and Reshetnyak type theorems (Chapters 6 and 8), existence of solutions to differential inclusions (Chapter 7), dynamical programming (Chapter 8) and the Central Limit Theorem in locally convex spaces (Chapter 9).

Special Subset Linguistic Topological Spaces

Author : W. B. Vasantha Kandasamy
Publisher : Infinite Study
ISBN 13 :
Total Pages : 259 pages
Book Rating : 4./5 ( download)

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Book Synopsis Special Subset Linguistic Topological Spaces by : W. B. Vasantha Kandasamy

Download or read book Special Subset Linguistic Topological Spaces written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, authors, for the first time, introduce the new notion of special subset linguistic topological spaces using linguistic square matrices. This book is organized into three chapters. Chapter One supplies the reader with the concept of ling set, ling variable, ling continuum, etc. Specific basic linguistic algebraic structures, like linguistic semigroup linguistic monoid, are introduced. Also, algebraic structures to linguistic square matrices are defined and described with examples. For the first time, non-commutative linguistic topological spaces are introduced. The notion of a linguistic special subset of doubly non-commutative topological spaces of linguistic topological spaces is introduced in this book.

Topological Vector Spaces

Author : Alex P. Robertson
Publisher : CUP Archive
ISBN 13 : 9780521298827
Total Pages : 186 pages
Book Rating : 4.2/5 (988 download)

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Book Synopsis Topological Vector Spaces by : Alex P. Robertson

Download or read book Topological Vector Spaces written by Alex P. Robertson and published by CUP Archive. This book was released on 1980 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt:

On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces

Author : Wadei Al-Omeri
Publisher : Infinite Study
ISBN 13 :
Total Pages : 12 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces by : Wadei Al-Omeri

Download or read book On Generalized Closed Sets and Generalized Pre-Closed Sets in Neutrosophic Topological Spaces written by Wadei Al-Omeri and published by Infinite Study. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this paper, the concept of generalized neutrosophic pre-closed sets and generalized neutrosophic pre-open sets are introduced. We also study relations and various properties between the other existing neutrosophic open and closed sets. In addition, we discuss some applications of generalized neutrosophic pre-closed sets, namely neutrosophic pT12 space and neutrosophic gpT12 space. The concepts of generalized neutrosophic connected spaces, generalized neutrosophic compact spaces and generalized neutrosophic extremally disconnected spaces are established. Some interesting properties are investigated in addition to giving some examples.

Topology with Applications

Author : Somashekhar A. Naimpally
Publisher : World Scientific
ISBN 13 : 9814407666
Total Pages : 294 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Topology with Applications by : Somashekhar A. Naimpally

Download or read book Topology with Applications written by Somashekhar A. Naimpally and published by World Scientific. This book was released on 2013 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The principal aim of this book is to introduce topology and its many applications viewed within a framework that includes a consideration of compactness, completeness, continuity, filters, function spaces, grills, clusters and bunches, hyperspace topologies, initial and final structures, metric spaces, metrization, nets, proximal continuity, proximity spaces, separation axioms, and uniform spaces.This book provides a complete framework for the study of topology with a variety of applications in science and engineering that include camouflage filters, classification, digital image processing, forgery detection, Hausdorff raster spaces, image analysis, microscopy, paleontology, pattern recognition, population dynamics, stem cell biology, topological psychology, and visual merchandising.It is the first complete presentation on topology with applications considered in the context of proximity spaces, and the nearness and remoteness of sets of objects. A novel feature throughout this book is the use of near and far, discovered by F Riesz over 100 years ago. In addition, it is the first time that this form of topology is presented in the context of a number of new applications.

On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets

Author : Qays Hatem Imran
Publisher : Infinite Study
ISBN 13 :
Total Pages : 10 pages
Book Rating : 4./5 ( download)

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Book Synopsis On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets by : Qays Hatem Imran

Download or read book On Some Types of Neutrosophic Topological Groups with Respect to Neutrosophic Alpha Open Sets written by Qays Hatem Imran and published by Infinite Study. This book was released on with total page 10 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we presented eight different types of neutrosophic topological groups, each of which depends on the conceptions of neutrosophic alpha-open sets and neutrosophic alpha-continuous functions. Also, we found the relation between these types, and we gave some properties on the other side.

Analysis for Applied Mathematics

Author : Ward Cheney
Publisher : Springer Science & Business Media
ISBN 13 : 9780387952796
Total Pages : 628 pages
Book Rating : 4.9/5 (527 download)

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Book Synopsis Analysis for Applied Mathematics by : Ward Cheney

Download or read book Analysis for Applied Mathematics written by Ward Cheney and published by Springer Science & Business Media. This book was released on 2001-06-21 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This well-written book contains the analytical tools, concepts, and viewpoints needed for modern applied mathematics. It treats various practical methods for solving problems such as differential equations, boundary value problems, and integral equations. Pragmatic approaches to difficult equations are presented, including the Galerkin method, the method of iteration, Newton’s method, projection techniques, and homotopy methods.

A Look on Separation Axioms in Neutrosophic Topological Spaces

Author : Ahu Acikgoz
Publisher : Infinite Study
ISBN 13 :
Total Pages : 5 pages
Book Rating : 4./5 ( download)

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Book Synopsis A Look on Separation Axioms in Neutrosophic Topological Spaces by : Ahu Acikgoz

Download or read book A Look on Separation Axioms in Neutrosophic Topological Spaces written by Ahu Acikgoz and published by Infinite Study. This book was released on with total page 5 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study is dedicated to make an attempt to define different types of separation axioms in neutrosophic topological spaces. The relationships among them are shown with a diagram and counterexamples. We also introduce some new notions, such as neutrosophic quasi-coincidence, neutrosophic q-neighborhood, neurosophic cluster point, and give a new definition for neutrosophic function.

Homotopy Invariant Algebraic Structures on Topological Spaces

Author : J. M. Boardman
Publisher : Springer
ISBN 13 : 3540377999
Total Pages : 268 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Homotopy Invariant Algebraic Structures on Topological Spaces by : J. M. Boardman

Download or read book Homotopy Invariant Algebraic Structures on Topological Spaces written by J. M. Boardman and published by Springer. This book was released on 2006-11-15 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Dynamical Systems

Author : Jan Vries
Publisher : Walter de Gruyter
ISBN 13 : 3110342405
Total Pages : 516 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Topological Dynamical Systems by : Jan Vries

Download or read book Topological Dynamical Systems written by Jan Vries and published by Walter de Gruyter. This book was released on 2014-01-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Fuzzy Systems and Knowledge Discovery

Author : Lipo Wang
Publisher : Springer Science & Business Media
ISBN 13 : 3540459162
Total Pages : 1362 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Fuzzy Systems and Knowledge Discovery by : Lipo Wang

Download or read book Fuzzy Systems and Knowledge Discovery written by Lipo Wang and published by Springer Science & Business Media. This book was released on 2006-09-19 with total page 1362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the Third International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2006, held in federation with the Second International Conference on Natural Computation ICNC 2006. The book presents 115 revised full papers and 50 revised short papers. Coverage includes neural computation, quantum computation, evolutionary computation, DNA computation, fuzzy computation, granular computation, artificial life, innovative applications to knowledge discovery, finance, operations research, and more.

Topological Duality for Distributive Lattices

Author : Mai Gehrke
Publisher : Cambridge University Press
ISBN 13 : 1009349716
Total Pages : 370 pages
Book Rating : 4.0/5 (93 download)

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Book Synopsis Topological Duality for Distributive Lattices by : Mai Gehrke

Download or read book Topological Duality for Distributive Lattices written by Mai Gehrke and published by Cambridge University Press. This book was released on 2024-02-29 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing Stone–Priestley duality theory and its applications to logic and theoretical computer science, this book equips graduate students and researchers with the theoretical background necessary for reading and understanding current research in the area. After giving a thorough introduction to the algebraic, topological, logical, and categorical aspects of the theory, the book covers two advanced applications in computer science, namely in domain theory and automata theory. These topics are at the forefront of active research seeking to unify semantic methods with more algorithmic topics in finite model theory. Frequent exercises punctuate the text, with hints and references provided.

Topology of Metric Spaces

Author : S. Kumaresan
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9781842652503
Total Pages : 172 pages
Book Rating : 4.6/5 (525 download)

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Book Synopsis Topology of Metric Spaces by : S. Kumaresan

Download or read book Topology of Metric Spaces written by S. Kumaresan and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Topology of Metric Spaces gives a very streamlined development of a course in metric space topology emphasizing only the most useful concepts, concrete spaces and geometric ideas to encourage geometric thinking, to treat this as a preparatory ground for a general topology course, to use this course as a surrogate for real analysis and to help the students gain some perspective of modern analysis." "Eminently suitable for self-study, this book may also be used as a supplementary text for courses in general (or point-set) topology so that students will acquire a lot of concrete examples of spaces and maps."--BOOK JACKET.

The Analytical and Topological Theory of Semigroups

Author : Karl H. Hofmann
Publisher : Walter de Gruyter
ISBN 13 : 3110856042
Total Pages : 413 pages
Book Rating : 4.1/5 (18 download)

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Book Synopsis The Analytical and Topological Theory of Semigroups by : Karl H. Hofmann

Download or read book The Analytical and Topological Theory of Semigroups written by Karl H. Hofmann and published by Walter de Gruyter. This book was released on 2011-05-03 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)