| Description |
1 online resource (x, 1324 pages) : illustrations |
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text txt rdacontent |
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computer c rdamedia |
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online resource cr rdacarrier |
| Summary |
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics. |
| Bibliography |
Includes bibliographical references and index. |
| Note |
Print version record. |
| Contents |
Cover -- Contents -- Foreword -- List of Contributors -- Chapter 1. Homotopy types -- Chapter 2. Homotopy theories and model categories -- Chapter 3. Proper homotopy theory -- Chapter 4. Introduction to fibrewise homotopy theory -- Chapter 5. Coherent homotopy over a fixed space -- Chapter 6. Modem foundations for stable homotopy theory -- Chapter 7. Completions in algebra and topology -- Chapter 8. Equivariant stable homotopy theory -- Chapter 9. The stable homotopy theory of finite complexes -- Chapter 10. The EHP sequence and periodic homotopy -- Chapter 11. Introduction to nonconnective Im(J)-theory -- Chapter 12. Applications of nonconnective Im(J)-theory -- Chapter 13. Stable homotopy and iterated loop spaces -- Chapter 14. Stable operations in generalized cohomology -- Chapter 15. Unstable operations in generalized cohomology -- Chapter 16. Differential graded algebras in topology -- Chapter 17. Real and rational homotopy theory -- Chapter 18. Cohomology of groups -- Chapter 19. Homotopy theory of Lie groups -- Chapter 20. Computing v1-periodic homotopy groups of spheres and some compact Lie groups -- Chapter 21. Classifying spaces of compact Lie groups and finite loop spaces -- Chapter 22. H-spaces with finiteness conditions -- Chapter 23. Co-H-spaces -- Chapter 24. Fibration and product decompositions in nonstable homotopy theory -- Chapter 25. Phantom maps -- Chapter 26. Wall's finiteness obstruction -- Chapter 27. Lusternik-Schnirelmann category -- Subject Index -- Last Page. |
| Subject |
Algebraic topology.
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Topologie algébrique.
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MATHEMATICS -- Topology.
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Algebraic topology
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Algebraïsche topologie.
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Topologie algébrique.
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| Indexed Term |
Algebraic topology |
| Genre/Form |
Handbook |
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handbooks.
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Handbooks and manuals
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Handbooks and manuals.
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Guides et manuels.
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| Added Author |
James, I. M. (Ioan Mackenzie), 1928-
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| Added Title |
Algebraic topology |
| Other Form: |
Print version: Handbook of algebraic topology. Amsterdam ; New York : Elsevier Science B.V., 1995 0444817794 9780444817792 (DLC) 95023044 (OCoLC)32665856 |
| ISBN |
9780444817792 |
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0444817794 |
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9780080532981 (electronic bk.) |
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0080532985 (electronic bk.) |
| Standard No. |
AU@ 000048129529 |
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CHDSB 005988973 |
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CHNEW 001005800 |
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DEBBG BV036962260 |
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DEBBG BV039830128 |
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DEBBG BV042317274 |
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DEBSZ 275195937 |
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NZ1 12432889 |
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NZ1 15192837 |
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