“… Sato’s book is a gem, and I am happy to recommend it in very enthusiastic terms.”-- MAA

• Objectives 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.

“… Sato’s book is a gem, and I am happy to recommend it in very enthusiastic terms.”-- MAA

• Objectives 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.

“… Sato’s book is a gem, and I am happy to recommend it in very enthusiastic terms.”-- MAA

• Objectives 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.