Basic topology

M.A. Armstrong

In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.

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[目次]

  • Preface. 1: Introduction. 2: Continuity. 3: Compactness and connectedness. 4: Identification spaces. 5: The fundamental group. 6: Triangulations. 7: Surfaces. 8: Simplicial homology. 9: Degree and Lefschetz number. 10: Knots and covering spaces. Appendix: Generators and relations. Bibliography. Index.

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この本の情報

書名 Basic topology
著作者等 Armstrong, M. A.
Armstrong Mark A.
シリーズ名 Undergraduate texts in mathematics
出版元 Springer-Verlag
刊行年月 c1983
版表示 1st ed. 1979. Corr. 5th printing 1997
ページ数 xii, 251 p.
大きさ 25 cm
ISBN 3540908390
0387908390
NCID BA01308694
※クリックでCiNii Booksを表示
言語 英語
出版国 アメリカ合衆国
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