Algebraic topology from a homotopical viewpoint
著者
書誌事項
Algebraic topology from a homotopical viewpoint
(Universitext)
Springer, c2002
- : softcover
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注記
"Softcover reprint of the hardcover 1st edition 2002"--T.p. verso of softcover
Includes bibliographical references (p. 457-462) and index
内容説明・目次
内容説明
The authors present introductory material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This carefully written book can be read by any student who knows some topology, providing a useful method to quickly learn this novel homotopy-theoretic point of view of algebraic topology.
目次
* Introduction * Basic Concepts and Notation * Function Spaces * Connectedness and Algebraic Invariants * Homotopy Groups * Homotopy Extentsion and Lifting Properties * CW-Complexes Homology * Homotopy Properties of CW-Complexes * Cohomology Groups and Related Topics * Vector Bundles * K-Theory * Adams Operations and Applications * Relations Between Cohomology and Vector Bundles * Cohomology Theories and Brown Representability * Appendix A: Proof of the Dold-Thom Theorem * Appendix B: Proof of the Bott Periodicity Theorem * References * Index * Glossary *
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