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 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 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 642 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 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 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 Orders Description and Roles written by M. Pouzet and published by Elsevier. This book was released on 1984-01-01 with total page 547 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 Analele Universit ii din Timi oara written by and published by . This book was released on 1976 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Large scale 3D Data Integration written by Sisi Zlatanova and published by CRC Press. This book was released on 2005-10-14 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Large-Scale 3D Data Integration: Challenges and Opportunities examines the fundamental aspects of 3D geo-information, focusing on the latest developments in 3D GIS (geographic information) and AEC (architecture, engineering, construction) systems. This book addresses policy makers, designers and engineers, and individuals that need to overco

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

Download or read book Annales Scientifiques de L cole Normale Sup rieure written by École normale supérieure (France) and published by . This book was released on 2008 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analele tiin ifice ale Universit ii Al I Cuza din Ia i written by and published by . This book was released on 1972 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Analele tiin ifice ale Universitatii Al I Cuza din Ia i Serie nou written by Universitatea "Al. I. Cuza" din Iași and published by . This book was released on 1971 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Dynamics of conservative surfaces diffeomorphisms written by Sylvain Crovisier and published by . This book was released on 2006 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume deals with the dynamics of area-preserving surface diffeomorphisms. In dimension 2, some specific mathematical tools are available. In addition, the authors present several approaches and some applications. In particular, they try to show how the geometrical theory of dynamical systems, the group theory, the hydrodynamics and the plane topology interact.

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 Annali dell Universit di Ferrara written by Università di Ferrara and published by . This book was released on 1982 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Rocznik Polskiego tow matematycznego written by Polskie towarzystwo matematyczne, Krakow and published by . This book was released on 1952 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: