Partition Problems In Topology

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Partition Problems in Topology

Author : Stevo Todorcevic
Publisher : American Mathematical Soc.
ISBN 13 : 0821850911
Total Pages : 130 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Partition Problems in Topology by : Stevo Todorcevic

Download or read book Partition Problems in Topology written by Stevo Todorcevic and published by American Mathematical Soc.. This book was released on 1989 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents results on the case of the Ramsey problem for the uncountable: When does a partition of a square of an uncountable set have an uncountable homogeneous set? This problem most frequently appears in areas of general topology, measure theory, and functional analysis. Building on his solution of one of the two most basic partition problems in general topology, the ``S-space problem,'' the author has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set theory at the level of a first year graduate or advanced undergraduate student. The book may also be of interest to the exclusively set-theoretic reader, for it provides an excellent introduction to the subject of forcing axioms of set theory, such as Martin's axiom and the Proper forcing axiom.

Open Problems in Topology II

Author : Elliott M. Pearl
Publisher : Elsevier
ISBN 13 : 9780080475295
Total Pages : 776 pages
Book Rating : 4.4/5 (752 download)

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Book Synopsis Open Problems in Topology II by : Elliott M. Pearl

Download or read book Open Problems in Topology II written by Elliott M. Pearl and published by Elsevier. This book was released on 2011-08-11 with total page 776 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of surveys of research problems in topology and its applications. The topics covered include general topology, set-theoretic topology, continuum theory, topological algebra, dynamical systems, computational topology and functional analysis. * New surveys of research problems in topology * New perspectives on classic problems * Representative surveys of research groups from all around the world

Elementary Topology

Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886250
Total Pages : 432 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Elementary Topology by : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov

Download or read book Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov and published by American Mathematical Soc.. This book was released on with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.

A Cp-Theory Problem Book

Author : Vladimir V. Tkachuk
Publisher : Springer
ISBN 13 : 3319047477
Total Pages : 583 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis A Cp-Theory Problem Book by : Vladimir V. Tkachuk

Download or read book A Cp-Theory Problem Book written by Vladimir V. Tkachuk and published by Springer. This book was released on 2014-06-24 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in Cp-theory and general topology at the professional level bringing the reader to the frontiers of modern research. The volume contains 500 problems and exercises with complete solutions. It can also be used as an introduction to advanced set theory and descriptive set theory. The book presents diverse topics of the theory of function spaces with the topology of pointwise convergence, or Cp-theory which exists at the intersection of topological algebra, functional analysis and general topology. Cp-theory has an important role in the classification and unification of heterogeneous results from these areas of research. Moreover, this book gives a reasonably complete coverage of Cp-theory through 500 carefully selected problems and exercises. By systematically introducing each of the major topics of Cp-theory the book is intended to bring a dedicated reader from basic topological principles to the frontiers of modern research.

Algebra and Algebraic Topology

Author : Ched E. Stedman
Publisher : Nova Publishers
ISBN 13 : 9781600211874
Total Pages : 178 pages
Book Rating : 4.2/5 (118 download)

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Book Synopsis Algebra and Algebraic Topology by : Ched E. Stedman

Download or read book Algebra and Algebraic Topology written by Ched E. Stedman and published by Nova Publishers. This book was released on 2007 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gathers results in pure and applied algebra including algebraic topology from researchers around the globe. The selection of these papers was carried out under the auspices of a special editorial board.

Open Problems in Topology

Author : J. van Mill
Publisher : North Holland
ISBN 13 :
Total Pages : 716 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Open Problems in Topology by : J. van Mill

Download or read book Open Problems in Topology written by J. van Mill and published by North Holland. This book was released on 1990 with total page 716 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the Introduction: This volume grew from a discussion by the editors on the difficulty of finding good thesis problems for graduate students in topology. Although at any given time we each had our own favorite problems, we acknowledged the need to offer students a wider selection from which to choose a topic peculiar to their interests. One of us remarked, 'Wouldn't it be nice to have a book of current unsolved problems always available to pull down from the shelf?' The other replied 'Why don't we simply produce such a book?' Two years later and not so simply, here is the resulting volume. The intent is to provide not only a source book for thesis-level problems but also a challenge to the best researchers in the field.

Set Theory

Author : Carlos A. di Prisco
Publisher : Springer Science & Business Media
ISBN 13 : 9401589887
Total Pages : 229 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Set Theory by : Carlos A. di Prisco

Download or read book Set Theory written by Carlos A. di Prisco and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past 25 years, set theory has developed in several interesting directions. The most outstanding results cover the application of sophisticated techniques to problems in analysis, topology, infinitary combinatorics and other areas of mathematics. This book contains a selection of contributions, some of which are expository in nature, embracing various aspects of the latest developments. Amongst topics treated are forcing axioms and their applications, combinatorial principles used to construct models, and a variety of other set theoretical tools including inner models, partitions and trees. Audience: This book will be of interest to graduate students and researchers in foundational problems of mathematics.

Encyclopedia of General Topology

Author : K.P. Hart
Publisher : Elsevier
ISBN 13 : 0080530869
Total Pages : 537 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis Encyclopedia of General Topology by : K.P. Hart

Download or read book Encyclopedia of General Topology written by K.P. Hart and published by Elsevier. This book was released on 2003-11-18 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledge of set theory, algebra and analysis, will be able to find what they want if they will properly use the index. However, this book contains very few proofs and the reader who wants to study more systematically will find sufficiently many references in the book. Key features: • More terms from General Topology than any other book ever published• Short and informative articles• Authors include the majority of top researchers in the field• Extensive indexing of terms

Set Theory and Its Applications

Author : Liljana Babinkostova
Publisher : American Mathematical Soc.
ISBN 13 : 0821848127
Total Pages : 346 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Set Theory and Its Applications by : Liljana Babinkostova

Download or read book Set Theory and Its Applications written by Liljana Babinkostova and published by American Mathematical Soc.. This book was released on 2011 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book consists of several survey and research papers covering a wide range of topics in active areas of set theory and set theoretic topology. Some of the articles present, for the first time in print, knowledge that has been around for several years and known intimately to only a few experts. The surveys bring the reader up to date on the latest information in several areas that have been surveyed a decade or more ago. Topics covered in the volume include combinatorial and descriptive set theory, determinacy, iterated forcing, Ramsey theory, selection principles, set-theoretic topology, and universality, among others. Graduate students and researchers in logic, especially set theory, descriptive set theory, and set-theoretic topology, will find this book to be a very valuable reference.

Recent Progress in General Topology

Author : M. Husek
Publisher : Elsevier
ISBN 13 : 0080934439
Total Pages : 808 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Recent Progress in General Topology by : M. Husek

Download or read book Recent Progress in General Topology written by M. Husek and published by Elsevier. This book was released on 1992-11-20 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: These papers survey the developments in General Topology and the applications of it which have taken place since the mid 1980s. The book may be regarded as an update of some of the papers in the Handbook of Set-Theoretic Topology (eds. Kunen/Vaughan, North-Holland, 1984), which gives an almost complete picture of the state of the art of Set Theoretic Topology before 1984. In the present volume several important developments are surveyed that surfaced in the period 1984-1991. This volume may also be regarded as a partial update of Open Problems in Topology (eds. van Mill/Reed, North-Holland, 1990). Solutions to some of the original 1100 open problems are discussed and new problems are posed.

Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures

Download Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures PDF Online Free

Author : Bhatia Rajendra
Publisher : World Scientific
ISBN 13 : 9814462934
Total Pages : 4144 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures by : Bhatia Rajendra

Download or read book Proceedings Of The International Congress Of Mathematicians 2010 (Icm 2010) (In 4 Volumes) - Vol. I: Plenary Lectures And Ceremonies, Vols. Ii-iv: Invited Lectures written by Bhatia Rajendra and published by World Scientific. This book was released on 2011-06-06 with total page 4144 pages. Available in PDF, EPUB and Kindle. Book excerpt: ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.

Author :
Publisher : World Scientific
ISBN 13 :
Total Pages : 1191 pages
Book Rating : 4./5 ( download)

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Book Synopsis by :

Download or read book written by and published by World Scientific. This book was released on with total page 1191 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Topological Groups and Related Structures

Author : A. V. Arkhangelʹskiĭ
Publisher : atlantis press
ISBN 13 : 9078677066
Total Pages : 797 pages
Book Rating : 4.0/5 (786 download)

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Book Synopsis Topological Groups and Related Structures by : A. V. Arkhangelʹskiĭ

Download or read book Topological Groups and Related Structures written by A. V. Arkhangelʹskiĭ and published by atlantis press. This book was released on 2008 with total page 797 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the automatic continuity of the operation. The main scope of the book, however, is outside of the locally compact structures, thus distinguishing the monograph from a series of more traditional textbooks.The book is unique in that it presents very important material, dispersed in hundreds of research articles, not covered by any monograph in existence. The reader is gently introduced to an amazing world at the interface of Algebra, Topology, and Set Theory. He/she will find that the way to the frontier of the knowledge is quite short -- almost every section of the book contains several intriguing open problems whose solutions can contribute significantly to the area.

Recent Progress in General Topology III

Author : K.P. Hart
Publisher : Springer Science & Business Media
ISBN 13 : 946239024X
Total Pages : 903 pages
Book Rating : 4.4/5 (623 download)

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Book Synopsis Recent Progress in General Topology III by : K.P. Hart

Download or read book Recent Progress in General Topology III written by K.P. Hart and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 903 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002). The book was prepared in connection with the Prague Topological Symposium, held in 2011. During the last 10 years the focus in General Topology changed and therefore the selection of topics differs from that chosen in 2002. The following areas experienced significant developments: Fractals, Coarse Geometry/Topology, Dimension Theory, Set Theoretic Topology and Dynamical Systems.

Sets and Extensions in the Twentieth Century

Author :
Publisher : Elsevier
ISBN 13 : 0080930662
Total Pages : 878 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Sets and Extensions in the Twentieth Century by :

Download or read book Sets and Extensions in the Twentieth Century written by and published by Elsevier. This book was released on 2012-01-24 with total page 878 pages. Available in PDF, EPUB and Kindle. Book excerpt: Set theory is an autonomous and sophisticated field of mathematics that is extremely successful at analyzing mathematical propositions and gauging their consistency strength. It is as a field of mathematics that both proceeds with its own internal questions and is capable of contextualizing over a broad range, which makes set theory an intriguing and highly distinctive subject. This handbook covers the rich history of scientific turning points in set theory, providing fresh insights and points of view. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in mathematics, the history of philosophy, and any discipline such as computer science, cognitive psychology, and artificial intelligence, for whom the historical background of his or her work is a salient consideration Serves as a singular contribution to the intellectual history of the 20th century Contains the latest scholarly discoveries and interpretative insights

Introduction to Wireless Sensor Networks

Author : Anna Forster
Publisher : John Wiley & Sons
ISBN 13 : 1119079934
Total Pages : 192 pages
Book Rating : 4.1/5 (19 download)

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Book Synopsis Introduction to Wireless Sensor Networks by : Anna Forster

Download or read book Introduction to Wireless Sensor Networks written by Anna Forster and published by John Wiley & Sons. This book was released on 2016-12-14 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Explores real-world wireless sensor network development, deployment, and applications Presents state-of-the-art protocols and algorithms Includes end-of-chapter summaries, exercises, and references For students, there are hardware overviews, reading links, programming examples, and tests available at [website] For Instructors, there are PowerPoint slides and solutions available at [website]

Set Theory of the Continuum

Author : Haim Judah
Publisher : Springer Science & Business Media
ISBN 13 : 1461397545
Total Pages : 417 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Set Theory of the Continuum by : Haim Judah

Download or read book Set Theory of the Continuum written by Haim Judah and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primarily consisting of talks presented at a workshop at the MSRI during its "Logic Year" 1989-90, this volume is intended to reflect the whole spectrum of activities in set theory. The first section of the book comprises the invited papers surveying the state of the art in a wide range of topics of set-theoretic research. The second section includes research papers on various aspects of set theory and its relation to algebra and topology. Contributors include: J.Bagaria, T. Bartoszynski, H. Becker, P. Dehornoy, Q. Feng, M. Foreman, M. Gitik, L. Harrington, S. Jackson, H. Judah, W. Just, A.S. Kechris, A. Louveau, S. MacLane, M. Magidor, A.R.D. Mathias, G. Melles, W.J. Mitchell, S. Shelah, R.A. Shore, R.I. Soare, L.J. Stanley, B. Velikovic, H. Woodin.