Algebraic and differential topology
著者
書誌事項
Algebraic and differential topology
（Classics of Soviet mathematics, . L.S. Pontryagin selected works / edited by R.V. Gamkrelidze ; v. 3）
Gordon and Breach Science Publishers, c1986
- : set
- タイトル別名
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Основы комбинаторной
Гладкие многообразия и их применения в теории гомотопий
大学図書館所蔵 件 / 全45件
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注記
Pt. 1 of this book was originally published in Russian as Основы комбинаторной and pt. 2 as Гладкие многообразия и их применения в теории гомотопий by Izdatel'stvo Nauka, Glavnaya redaktsiya fizikomatematicheskoĭ literatury, Moscow, both in 1976
Bibliography: p. 251-252
内容説明・目次
内容説明
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
目次
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
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