Download or read book Handbook of the History of General Topology written by C.E. Aull and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first one of a work in several volumes, treating the history of the development of topology. The work contains papers which can be classified into 4 main areas. Thus there are contributions dealing with the life and work of individual topologists, with specific schools of topology, with research in topology in various countries, and with the development of topology in different periods. The work is not restricted to topology in the strictest sense but also deals with applications and generalisations in a broad sense. Thus it also treats, e.g., categorical topology, interactions with functional analysis, convergence spaces, and uniform spaces. Written by specialists in the field, it contains a wealth of information which is not available anywhere else.

Download or read book The Infinite Dimensional Topology of Function Spaces written by J. van Mill and published by Elsevier. This book was released on 2002-05-24 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book we study function spaces of low Borel complexity. Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theory are primarily used for the study of these spaces. The mix of methods from several disciplines makes the subject particularly interesting. Among other things, a complete and self-contained proof of the Dobrowolski-Marciszewski-Mogilski Theorem that all function spaces of low Borel complexity are topologically homeomorphic, is presented. In order to understand what is going on, a solid background in infinite-dimensional topology is needed. And for that a fair amount of knowledge of dimension theory as well as ANR theory is needed. The necessary material was partially covered in our previous book `Infinite-dimensional topology, prerequisites and introduction'. A selection of what was done there can be found here as well, but completely revised and at many places expanded with recent results. A `scenic' route has been chosen towards the Dobrowolski-Marciszewski-Mogilski Theorem, linking the results needed for its proof to interesting recent research developments in dimension theory and infinite-dimensional topology. The first five chapters of this book are intended as a text for graduate courses in topology. For a course in dimension theory, Chapters 2 and 3 and part of Chapter 1 should be covered. For a course in infinite-dimensional topology, Chapters 1, 4 and 5. In Chapter 6, which deals with function spaces, recent research results are discussed. It could also be used for a graduate course in topology but its flavor is more that of a research monograph than of a textbook; it is therefore more suitable as a text for a research seminar. The book consequently has the character of both textbook and a research monograph. In Chapters 1 through 5, unless stated otherwise, all spaces under discussion are separable and metrizable. In Chapter 6 results for more general classes of spaces are presented. In Appendix A for easy reference and some basic facts that are important in the book have been collected. The book is not intended as a basis for a course in topology; its purpose is to collect knowledge about general topology. The exercises in the book serve three purposes: 1) to test the reader's understanding of the material 2) to supply proofs of statements that are used in the text, but are not proven there 3) to provide additional information not covered by the text. Solutions to selected exercises have been included in Appendix B. These exercises are important or difficult.

Download or read book Topology written by L.D. Faddeev and published by Springer. This book was released on 2006-12-08 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Commentarii Mathematici Helvetici written by and published by . This book was released on 1967 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topology written by K. Kuratowski and published by Elsevier. This book was released on 2014-05-12 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology, Volume II deals with topology and covers topics ranging from compact spaces and connected spaces to locally connected spaces, retracts, and neighborhood retracts. Group theory and some cutting problems are also discussed, along with the topology of the plane. Comprised of seven chapters, this volume begins with a discussion on the compactness of a topological space, paying particular attention to Borel, Lebesgue, Riesz, Cantor, and Bolzano-Weierstrass conditions. Semi-continuity and topics in dimension theory are also considered. The reader is then introduced to the connectedness of a space, with emphasis on the general properties and monotone mappings of connected spaces; local connectedness of a topological space; absolute retracts and contractible spaces; and general properties of commutative groups. Qualitative problems related to polygonal arcs are also examined, together with cohomotopic multiplication and duality theorems. The final chapter is devoted to the topology of a plane and evaluates the concept of the Janiszewski space. This monograph will be helpful to students and practitioners of algebra and mathematics.

Download or read book Orders Description and Roles written by M. Pouzet and published by Elsevier. This book was released on 1984-01-01 with total page 599 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orders: Description and Roles

Download or read book Bulletin de L Acad mie Polonaise Des Sciences written by Polska Akademia Nauk and published by . This book was released on 1968 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quelques th or mes sur le plongement topologique des espaces written by Kazimierz Kuratowski and published by . This book was released on 1937 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Embeddings and Immersions written by Masahisa Adachi and published by American Mathematical Soc.. This book was released on 2012-11-07 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers fundamental techniques in the theory of -imbeddings and -immersions, emphasizing clear intuitive understanding and containing many figures and diagrams. Adachi starts with an introduction to the work of Whitney and of Haefliger on -imbeddings and -manifolds. The Smale-Hirsch theorem is presented as a generalization of the classification of -imbeddings by isotopy and is extended by Gromov's work on the subject, including Gromov's convex integration theory. Finally, as an application of Gromov's work, the author introduces Haefliger's classification theorem of foliations on open manifolds. Also described here is the Adachi's work with Landweber on the integrability of almost complex structures on open manifolds. This book would be an excellent text for upper-division undergraduate or graduate courses.Nothing provided

Download or read book Cahiers de Topologie Et G om trie Diff rentielle written by and published by . This book was released on 1983 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topological Embeddings written by and published by Academic Press. This book was released on 1973-03-30 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Embeddings

Download or read book Annales de la Soci t polonaise de math matique written by and published by . This book was released on 1952 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Geometry Topology written by and published by . This book was released on 1997 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Fundamenta Mathematicae written by and published by . This book was released on 1991 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Topological Library written by Sergeĭ Petrovich Novikov and published by World Scientific. This book was released on 2010 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: 1. On manifolds homeomorphic to the 7-sphere / J. Milnor -- 2. Groups of homotopy spheres. I / M. Kervaire and J. Milnor -- 3. Homotopically equivalent smooth manifolds / S.P. Novikov -- 4. Rational Pontrjagin classes. Homeomorphism and homotopy type of closed manifolds / S.P. Novikov -- 5. On manifolds with free abelian fundamental group and their applications (Pontrjagin classes, smooth structures, high-dimensional knots) / S.P. Novikov -- 6. Stable homeomorphisms and the annulus conjecture / R. Kirby

Download or read book Lectures on Probability Theory and Statistics written by M. Emery and published by Springer. This book was released on 2007-05-06 with total page 359 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains lectures given at the Saint-Flour Summer School of Probability Theory during 17th Aug. - 3rd Sept. 1998. The contents of the three courses are the following: - Continuous martingales on differential manifolds. - Topics in non-parametric statistics. - Free probability theory. The reader is expected to have a graduate level in probability theory and statistics. This book is of interest to PhD students in probability and statistics or operators theory as well as for researchers in all these fields. The series of lecture notes from the Saint-Flour Probability Summer School can be considered as an encyclopedia of probability theory and related fields.

Download or read book Topologie Et G om trie Diff rentielle written by and published by . This book was released on 1962 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cahiers du séminaire.