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Author : M. F. Bokstein
Publisher : American Mathematical Soc.
Page : 394 pages
File Size : 44,8 Mb
Release : 1959-12-31
Category : Mathematics
ISBN : 0821895478
Author : M. F. Bokstein
Publisher : American Mathematical Soc.
Page : 385 pages
File Size : 51,8 Mb
Release : 1959-12-30
Category : Mathematics
ISBN : 0821817116
Author : L. M. Abramov
Publisher : American Mathematical Soc.
Page : 308 pages
File Size : 53,9 Mb
Release : 1964-12-31
Category : Mathematics
ISBN : 0821896199
Author : Anonim
Publisher : American Mathematical Soc.
Page : 250 pages
File Size : 40,5 Mb
Release : 2024-07-01
Category : Electronic
ISBN : 9780821852347
Author : Yu. M. Smirnov,A. D. Aleksandrov
Publisher : American Mathematical Soc.
Page : 428 pages
File Size : 54,7 Mb
Release : 1962
Category : Mathematics
ISBN : 0821817213
Author : J. Novak
Publisher : Springer
Page : 246 pages
File Size : 55,9 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540371083
Author : Hanna Nencka
Publisher : American Mathematical Soc.
Page : 266 pages
File Size : 50,8 Mb
Release : 1999
Category : Low-dimensional topology
ISBN : 9780821808849
"The book has two main parts. The first is devoted to the Poincare conjecture, characterizations of PL-manifolds, covering quadratic forms of links and to categories in low dimensional topology that appear in connection with conformal and quantum field theory.
Author : Robion C. Kirby
Publisher : Springer
Page : 114 pages
File Size : 45,9 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540461715
This book presents the classical theorems about simply connected smooth 4-manifolds: intersection forms and homotopy type, oriented and spin bordism, the index theorem, Wall's diffeomorphisms and h-cobordism, and Rohlin's theorem. Most of the proofs are new or are returbishings of post proofs; all are geometric and make us of handlebody theory. There is a new proof of Rohlin's theorem using spin structures. There is an introduction to Casson handles and Freedman's work including a chapter of unpublished proofs on exotic R4's. The reader needs an understanding of smooth manifolds and characteristic classes in low dimensions. The book should be useful to beginning researchers in 4-manifolds.
Author : Chow Sho-kwan
Publisher : American Mathematical Soc.
Page : 352 pages
File Size : 50,8 Mb
Release : 1964-12-31
Category : Algebraic topology
ISBN : 0821896180
Author : C.E. Aull,R. Lowen
Publisher : Springer Science & Business Media
Page : 381 pages
File Size : 40,8 Mb
Release : 2013-04-17
Category : Mathematics
ISBN : 9789401704687
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.
Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
Publisher : American Mathematical Soc.
Page : 432 pages
File Size : 43,6 Mb
Release : 2024-07-01
Category : Mathematics
ISBN : 0821886258
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.
Author : Ilia Itenberg,Burglind Jöricke,Mikael Passare
Publisher : Springer Science & Business Media
Page : 483 pages
File Size : 41,5 Mb
Release : 2011-12-14
Category : Mathematics
ISBN : 9780817682774
The articles in this volume are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap between analysis, geometry, and topology. The encounters between these three fields are widespread and often provide impetus for major breakthroughs in applications. Topics include new developments in low dimensional topology related to invariants of links and three and four manifolds; Perelman's spectacular proof of the Poincare conjecture; and the recent advances made in algebraic, complex, symplectic, and tropical geometry.
Author : Jose Labastida,Marcos Marino
Publisher : Springer Science & Business Media
Page : 235 pages
File Size : 42,9 Mb
Release : 2007-07-18
Category : Science
ISBN : 9781402031779
The emergence of topological quantum ?eld theory has been one of the most important breakthroughs which have occurred in the context of ma- ematical physics in the last century, a century characterizedbyindependent developments of the main ideas in both disciplines, physics and mathematics, which has concluded with two decades of strong interaction between them, where physics, as in previous centuries, has acted as a source of new mat- matics. Topological quantum ?eld theories constitute the core of these p- nomena, although the main drivingforce behind it has been the enormous e?ort made in theoretical particle physics to understand string theory as a theory able to unify the four fundamental interactions observed in nature. These theories set up a new realm where both disciplines pro?t from each other. Although the most striking results have appeared on the mathema- calside,theoreticalphysicshasclearlyalsobene?tted,sincethecorresponding developments have helped better to understand aspects of the fundamentals of ?eld and string theory.
Author : Anonim
Publisher : Unknown
Page : 1380 pages
File Size : 55,8 Mb
Release : 1981
Category : Associations, institutions, etc
ISBN : UOM:39015004504547
1981- in 2 v.: v.1, Subject index; v.2, Title index, Publisher/title index, Association name index, Acronym index, Key to publishers' and distributors' abbreviations.
Author : Herbert Edelsbrunner,John L. Harer
Publisher : American Mathematical Society
Page : 241 pages
File Size : 46,9 Mb
Release : 2022-01-31
Category : Mathematics
ISBN : 9781470467692
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.