Introduction to topology

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Introduction to topology / V.A. Vassiliev ; translated by A. Sossinski

資料種別:

図書

出版情報:

Providence, R.I. : American Mathematical Society, c2001

形態:

xiii, 149 p. ; 22 cm

シリーズ名:

Student mathematical library ; v. 14 <BA42504671>

著者名:

ISBN:

9780821821626 [0821821628]

書誌ID:

BA51810657

子書誌情報

フルテキスト

所蔵情報

他の版・巻

書誌詳細

その他の標題:

Введение в топологию

注記:

Includes bibliographical references and indexes

主題:

Topology

言語:

英語

目次情報:

Topological spaces and operations with them

Homotopy groups and homotopy equivalence

Coverings Cell spaces ($CW$-complexes)

Relative homotopy groups and the exact sequence of a pair

Fiber bundles

Smooth manifolds

The degree of a map

Homology: Basic definitions and examples

Main properties of singular homology groups and their computation

Homology of cell spaces

Morse theory

Cohomology and Poincare duality

Some applications of homology theory

Multiplication in cohomology (and homology)

Index of notations Subject

Index

Topological spaces and operations with them

Homotopy groups and homotopy equivalence

Coverings Cell spaces ($CW$-complexes)

Relative homotopy groups and the exact sequence of a pair

Fiber bundles

Smooth manifolds

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