Basic topology
Author(s)
Bibliographic Information
Basic topology
（Undergraduate texts in mathematics）
Springer-Verlag, c1983
- : us
- : gw
Available at / 85 libraries
-
Science and Technology Library, Kyushu University
: us415.7/A 79031212015002583,
068222190001514 -
Research Institute for Economics & Business Administration (RIEB) Library , Kobe University図書
: us513-14s081000079701*
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Faculty of Textile Science and Technology Library, Shinshu University図
: us415.7:A 792810365284
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Note
Bibliography: p. 244-245
Includes index
Description and Table of Contents
- Volume
-
: us ISBN 9780387908397
Description
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.
Table of Contents
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.
- Volume
-
: gw ISBN 9783540908395
Description
In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. 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 will help students gain a rounded understanding of the subject.
Table of Contents
Preface.- Introduction.- Continuity.- Compactness and connectedness.- Identification spaces.- The fundamental group.- Triangulations.- Surfaces.- Simplicial homology.- Degree and Lefschetz number.- Knots and covering spaces.- Appendix: Generators and relations.- Bibliography.- Index.
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