Simplicial structures in topology
著者
書誌事項
Simplicial structures in topology
（CMS books in mathematics）
Springer, c2011
- タイトル別名
-
Strutture simpliciali in topologia
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注記
"Except for a few added comments, this is a faithful translation of the book 'Strutture simpliciali in topologia', published by Pitagora Editrice, Bologna 2009, as part of the collection 'Quaderni' of the Italian Mathematical Union" -- foreword
Includes bibliographical references (p. 239-240) and index
内容説明・目次
内容説明
Simplicial Structures in Topology provides a clear and comprehensive introduction to the subject. Ideas are developed in the first four chapters. The fifth chapter studies closed surfaces and gives their classification. The last chapter of the book is devoted to homotopy groups, which are used in short introduction on obstruction theory. The text is more in tune with the original development of algebraic topology as given by Henry Poincare (singular homology is discussed). Illustrative examples throughout and extensive exercises at the end of each chapter for practice enhance the text. Advanced undergraduate and beginning graduate students will benefit from this book. Researchers and professionals interested in topology and applications of mathematics will also find this book useful.
目次
Preface.- Fundamental Concepts.- Simplicial Complexes.- Homology of Polyhedra.- Cohonology.- Triangulable Manifolds.- Homotopy Groups.- Bibliography.- Index
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