Screen LibraryLectures on homotopy theory /
The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that...
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| Main Authors: | |
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| Corporate Authors: | |
| Published: |
North-Holland ; Distributors for the U.S.A. and Canada, Elsevier Science Pub. Co.,
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| Publisher Address: | Amsterdam ; New York : New York, N.Y., U.S.A. : |
| Publication Dates: | 1992. |
| Literature type: | eBook |
| Language: | English |
| Series: |
North-Holland mathematics studies ;
171 |
| Subjects: | |
| Online Access: |
http://www.sciencedirect.com/science/bookseries/03040208/171 |
| Summary: |
The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group of the sphere Sn, for n greater than or equal to 1 is isomorphic to the group of the integers, that the lower homotopy groups of Sn are trivial and that the third homotopy group of S2 is also isomorphic to the group of the integers. All this was achieved by discussing H-spaces and CoH-spaces, fibrations and cofibrations (rather thoroughly), simplicial structures and the homotopy groups of maps. |
| Item Description: | An expanded version of lectures given at the Scuola Matematica Interuniversitaria, in Perugia, during the summer of 1989. |
| Carrier Form: | 1 online resource (xii, 293 pages) : illustrations. |
| Bibliography: | Includes bibliographical references (pages 285-287) and index. |
| ISBN: |
9780444892386 0444892389 9780080872827 0080872824 1281754625 9781281754622 |
| Index Number: | QA612 |
| CLC: | O189.23 |
| Contents: | Front Cover; Lectures on Homotopy Theory; Copyright Page; Contents; Chapter 1. Homotopy Groups; Chapter 2. Fibrations and Cofibrations; Chapter 3. Exact Homotopy Sequences; Chapter 4. Simplicial Complexes; Chapter 5. Relative Homotopy Groups; Chapter 6. Homotopy Theory of CW-Complexes; Chapter 7. Fibrations Revisited; Appendix A: Colimits; Appendix B: Compactly generated spaces; Bibliography; Index. |