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Author : Daniel Lee Everett
Publisher :
ISBN 13 :
Total Pages : 114 pages
Book Rating : 4.:/5 (89 download)
Download or read book Embedding and Product Theorems for Decomposition Spaces written by Daniel Lee Everett and published by . This book was released on 1976 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Stefan Behrens
Publisher : Oxford University Press
ISBN 13 : 0192578383
Total Pages : 300 pages
Book Rating : 4.1/5 (925 download)
Download or read book The Disc Embedding Theorem written by Stefan Behrens and published by Oxford University Press. This book was released on 2021-07-15 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on Fields medal winning work of Michael Freedman, this book explores the disc embedding theorem for 4-dimensional manifolds. This theorem underpins virtually all our understanding of topological 4-manifolds. Most famously, this includes the 4-dimensional Poincaré conjecture in the topological category. The Disc Embedding Theorem contains the first thorough and approachable exposition of Freedman's proof of the disc embedding theorem, with many new details. A self-contained account of decomposition space theory, a beautiful but outmoded branch of topology that produces non-differentiable homeomorphisms between manifolds, is provided, as well as a stand-alone interlude that explains the disc embedding theorem's key role in all known homeomorphism classifications of 4-manifolds via surgery theory and the s-cobordism theorem. Additionally, the ramifications of the disc embedding theorem within the study of topological 4-manifolds, for example Frank Quinn's development of fundamental tools like transversality are broadly described. The book is written for mathematicians, within the subfield of topology, specifically interested in the study of 4-dimensional spaces, and includes numerous professionally rendered figures.
Author : Felix Voigtlaender
Publisher : American Mathematical Society
ISBN 13 : 1470459906
Total Pages : 268 pages
Book Rating : 4.4/5 (74 download)
Download or read book Embeddings of Decomposition Spaces written by Felix Voigtlaender and published by American Mathematical Society. This book was released on 2023-07-31 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: View the abstract. https://www.ams.org/bookstore/pspdf/memo-287-1426-abstract.pdf
Author : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 488 pages
Book Rating : 4.F/5 ( download)
Download or read book Summaries of Projects Completed written by National Science Foundation (U.S.) and published by . This book was released on with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 486 pages
Book Rating : 4.3/5 (91 download)
Download or read book Summaries of Projects Completed in Fiscal Year ... written by and published by . This book was released on with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : National Science Foundation (U.S.)
Publisher :
ISBN 13 :
Total Pages : 1092 pages
Book Rating : 4.:/5 (31 download)
Download or read book Summaries of Projects Completed in Fiscal Year ... written by National Science Foundation (U.S.) and published by . This book was released on 1978 with total page 1092 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Andre
Publisher : World Scientific
ISBN 13 : 9811277354
Total Pages : 822 pages
Book Rating : 4.8/5 (112 download)
Download or read book Point-set Topology With Topics: Basic General Topology For Graduate Studies written by Robert Andre and published by World Scientific. This book was released on 2024-01-19 with total page 822 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly to functional analysis, which will be of interest to scholars working in those fields.In Part I, readers are eased into the main subject matter of general topology, being presented with summaries of normed vector spaces and metric spaces. Parts II to VI form the core material contained in most Basic General Topology courses. After having worked through the most fundamental concepts of topology, the reader will be exposed to brief introductions to more specialized or advanced topics of pointset topology. These are presented in Part VII in the form of a sequence of chapters, many of which can be read or studied independently or in short sequences of two or three chapters, provided that the student has mastered the previous sections.Chapters related to the more basic ideas of general topology are followed by a collection of 'concept review' questions, the answers to which are found in the main body of the text. These questions highlight the main concepts presented in that chapter, as well as ideas that are often overlooked when first encountered, which will help to test the students' understanding. The efforts required in answering correctly such questions will provide the student with the ability to solve more complex problems in the exercises collected at the end of each section.
Author : Sheldon Axler
Publisher : Springer Science & Business Media
ISBN 13 : 9780387982595
Total Pages : 276 pages
Book Rating : 4.9/5 (825 download)
Download or read book Linear Algebra Done Right written by Sheldon Axler and published by Springer Science & Business Media. This book was released on 1997-07-18 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text for a second course in linear algebra, aimed at math majors and graduates, adopts a novel approach by banishing determinants to the end of the book and focusing on understanding the structure of linear operators on vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. For example, the book presents - without having defined determinants - a clean proof that every linear operator on a finite-dimensional complex vector space has an eigenvalue. The book starts by discussing vector spaces, linear independence, span, basics, and dimension. Students are introduced to inner-product spaces in the first half of the book and shortly thereafter to the finite- dimensional spectral theorem. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. This second edition features new chapters on diagonal matrices, on linear functionals and adjoints, and on the spectral theorem; some sections, such as those on self-adjoint and normal operators, have been entirely rewritten; and hundreds of minor improvements have been made throughout the text.
Author : Boris Isaakovich Plotkin
Publisher : World Scientific
ISBN 13 : 9789810209360
Total Pages : 304 pages
Book Rating : 4.2/5 (93 download)
Download or read book Algebraic Structures in Automata and Databases Theory written by Boris Isaakovich Plotkin and published by World Scientific. This book was released on 1992 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the investigation of algebraic structure. The emphasis is on the algebraic nature of real automation, which appears as a natural three-sorted algebraic structure, that allows for a rich algebraic theory. Based on a general category position, fuzzy and stochastic automata are defined. The final chapter is devoted to a database automata model. Database is defined as an algebraic structure and this allows us to consider theoretical problems of databases.
Author : Robert J. Daverman
Publisher : American Mathematical Soc.
ISBN 13 : 0821836978
Total Pages : 496 pages
Book Rating : 4.8/5 (218 download)
Download or read book Embeddings in Manifolds written by Robert J. Daverman and published by American Mathematical Soc.. This book was released on 2009-10-14 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: A topological embedding is a homeomorphism of one space onto a subspace of another. The book analyzes how and when objects like polyhedra or manifolds embed in a given higher-dimensional manifold. The main problem is to determine when two topological embeddings of the same object are equivalent in the sense of differing only by a homeomorphism of the ambient manifold. Knot theory is the special case of spheres smoothly embedded in spheres; in this book, much more general spaces and much more general embeddings are considered. A key aspect of the main problem is taming: when is a topological embedding of a polyhedron equivalent to a piecewise linear embedding? A central theme of the book is the fundamental role played by local homotopy properties of the complement in answering this taming question. The book begins with a fresh description of the various classic examples of wild embeddings (i.e., embeddings inequivalent to piecewise linear embeddings). Engulfing, the fundamental tool of the subject, is developed next. After that, the study of embeddings is organized by codimension (the difference between the ambient dimension and the dimension of the embedded space). In all codimensions greater than two, topological embeddings of compacta are approximated by nicer embeddings, nice embeddings of polyhedra are tamed, topological embeddings of polyhedra are approximated by piecewise linear embeddings, and piecewise linear embeddings are locally unknotted. Complete details of the codimension-three proofs, including the requisite piecewise linear tools, are provided. The treatment of codimension-two embeddings includes a self-contained, elementary exposition of the algebraic invariants needed to construct counterexamples to the approximation and existence of embeddings. The treatment of codimension-one embeddings includes the locally flat approximation theorem for manifolds as well as the characterization of local flatness in terms of local homotopy properties.
Author : James C. Robinson
Publisher : Cambridge University Press
ISBN 13 : 1139495186
Total Pages : 219 pages
Book Rating : 4.1/5 (394 download)
Download or read book Dimensions, Embeddings, and Attractors written by James C. Robinson and published by Cambridge University Press. This book was released on 2010-12-16 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: This accessible research monograph investigates how 'finite-dimensional' sets can be embedded into finite-dimensional Euclidean spaces. The first part brings together a number of abstract embedding results, and provides a unified treatment of four definitions of dimension that arise in disparate fields: Lebesgue covering dimension (from classical 'dimension theory'), Hausdorff dimension (from geometric measure theory), upper box-counting dimension (from dynamical systems), and Assouad dimension (from the theory of metric spaces). These abstract embedding results are applied in the second part of the book to the finite-dimensional global attractors that arise in certain infinite-dimensional dynamical systems, deducing practical consequences from the existence of such attractors: a version of the Takens time-delay embedding theorem valid in spatially extended systems, and a result on parametrisation by point values. This book will appeal to all researchers with an interest in dimension theory, particularly those working in dynamical systems.
Author :
Publisher : Academic Press
ISBN 13 : 9780080874050
Total Pages : 436 pages
Book Rating : 4.8/5 (74 download)
Download or read book Seifert and Threlfall, A Textbook of Topology written by and published by Academic Press. This book was released on 1980-07-04 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seifert and Threlfall, A Textbook of Topology
Author : John Rhodes
Publisher : Springer Science & Business Media
ISBN 13 : 0387097813
Total Pages : 674 pages
Book Rating : 4.3/5 (87 download)
Download or read book The q-theory of Finite Semigroups written by John Rhodes and published by Springer Science & Business Media. This book was released on 2009-04-05 with total page 674 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive, encyclopedic text in four parts aims to give the reader — from the graduate student to the researcher/practitioner — a detailed understanding of modern finite semigroup theory, focusing in particular on advanced topics on the cutting edge of research. The q-theory of Finite Semigroups presents important techniques and results, many for the first time in book form, thereby updating and modernizing the semigroup theory literature.
Author : Frederick Carter Tinsley
Publisher :
ISBN 13 :
Total Pages : 356 pages
Book Rating : 4.:/5 (89 download)
Download or read book Cell-like Decompositions of Manifolds and 1-LC Property written by Frederick Carter Tinsley and published by . This book was released on 1977 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Demeter Krupka
Publisher : Elsevier
ISBN 13 : 008095426X
Total Pages : 325 pages
Book Rating : 4.0/5 (89 download)
Download or read book Introduction to Global Variational Geometry written by Demeter Krupka and published by Elsevier. This book was released on 2000-04-01 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles- First book on the geometric foundations of Lagrange structures- New ideas on global variational functionals - Complete proofs of all theorems - Exact treatment of variational principles in field theory, inc. general relativity- Basic structures and tools: global analysis, smooth manifolds, fibred spaces
Author : Yoshihiro Sawano
Publisher : CRC Press
ISBN 13 : 1000064050
Total Pages : 429 pages
Book Rating : 4.0/5 ( download)
Download or read book Morrey Spaces written by Yoshihiro Sawano and published by CRC Press. This book was released on 2020-09-16 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial differential equations. The technique is very useful in many areas in mathematics, in particular in harmonic analysis, potential theory, partial differential equations and mathematical physics. Across two volumes, the authors of Morrey Spaces: Introduction and Applications to Integral Operators and PDE’s discuss the current state of art and perspectives of developments of this theory of Morrey spaces, with the emphasis in Volume II focused mainly generalizations and interpolation of Morrey spaces. Features Provides a ‘from-scratch’ overview of the topic readable by anyone with an understanding of integration theory Suitable for graduate students, masters course students, and researchers in PDE's or Geometry Replete with exercises and examples to aid the reader’s understanding
Author :
Publisher :
ISBN 13 :
Total Pages : 1152 pages
Book Rating : 4.:/5 (39 download)
Download or read book Pacific Journal of Mathematics written by and published by . This book was released on 1982-12 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
