Description
Book SynopsisCovers topics including fundamental notions such as homeomorphisms, homotopy equivalence, fundamental groups and higher homotopy groups, homology and cohomology, fiber bundles, spectral sequences and characteristic classes. This work considers objects and examples including the torus, the Mobius strip, the Klein bottle and closed surfaces.
Trade Review“… Sato’s book is a gem, and I am happy to recommend it in very enthusiastic terms.”
-- MAA
Table of ContentsObjectives Homeomorphisms and homotopy equivalences Topological spaces and cell complexes Fundamental groups and higher homotopy groups Homology Homology groups of cell complexes Cohomology Homology of product spaces and the universal coefficient theorem Fiber bundles and vector bundles Spectral sequences A view from current mathematics Appendix Answers to exercises Recommended reading Index.
