Basic Topology
Armstrong, M. A.
Basic Topology by M. A. Armstrong. - New York, NY : Springer New York, 1983. - 1 online resource (xii, 254 p.) - Undergraduate Texts in Mathematics, 0172-6056. . - Undergraduate texts in mathematics. .
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.
Online version restricted to NUS staff and students only through NUSNET.
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.
Mode of access: World Wide Web.
System requirements: Internet connectivity; World Wide Web browser.
9781475717938 (electronic bk.) 1475717938 (electronic bk.)
Mathematics.
Topology.
514 / ARM
Basic Topology by M. A. Armstrong. - New York, NY : Springer New York, 1983. - 1 online resource (xii, 254 p.) - Undergraduate Texts in Mathematics, 0172-6056. . - Undergraduate texts in mathematics. .
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.
Online version restricted to NUS staff and students only through NUSNET.
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.
Mode of access: World Wide Web.
System requirements: Internet connectivity; World Wide Web browser.
9781475717938 (electronic bk.) 1475717938 (electronic bk.)
Mathematics.
Topology.
514 / ARM