Basic Topology
Title:
Basic Topology
ISBN:
9781475717938
Personal Author:
Edition:
1st ed. 1983.
Publication Information New:
New York, NY : Springer New York : Imprint: Springer, 1983.
Physical Description:
XII, 251 p. 56 illus. online resource.
Series:
Undergraduate Texts in Mathematics,
Contents:
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.
Abstract:
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.
Subject Term:
Added Corporate Author:
Language:
English