This introduction to some basic ideas in algebraic topology is devoted to the foundations and applications of homology theory. After the essentials of singular homology and some important applications are given, successive topics covered include attaching spaces, finite CW complexes, cohomology products, manifolds, Poincare duality, and fixed point theory. This second edition includes a chapter on covering spaces and many new exercises.
Produkt-Info
Reihe
Sprache
Verlagsort
Zielgruppe
Editions-Typ
Produkt-Hinweis
Illustrationen
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 14 mm
Gewicht
ISBN-13
978-1-4612-6933-5 (9781461269335)
DOI
10.1007/978-1-4612-0881-5
Schweitzer Klassifikation
1 Singular Homology Theory.- 2 Attaching Spaces with Maps.- 3 The Eilenberg-Steenrod Axioms.- 4 Covering Spaces.- 5 Products.- 6 Manifolds and Poincaré Duality.- 7 Fixed-Point Theory.- Appendix I.- Appendix II.- References.- Books and Historical Articles Since 1973.- Books and Notes.- Survey and Expository Articles.
