The RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p / [electronic resource] Kevin K. Ferland, L. Gaunce Lewis, Jr.

By: Ferland, Kevin K, 1969-Contributor(s): Lewis, L. G. (L. Gaunce), 1949-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; v. 794Publication details: Providence, R.I. : American Mathematical Society, 2004Description: 1 online resource (vii, 129 p. : ill.)ISBN: 9781470403928 (online)Subject(s): Homology theory | Fiber spaces (Mathematics) | Classifying spaces | Algebraic topologyAdditional physical formats: RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p /DDC classification: 510 s | 514/.23 LOC classification: QA3 | .A57 no. 794 | QA612.3Online resources: Contents | Contents
Contents:
Introduction Part 1. The homology of $\mathbb {Z}/p$-cell complexes with even-dimensional cells Chapter 1. Preliminaries Chapter 2. The main freeness theorem (Theorem 2.6) Chapter 3. An outline of the proof of the main freeness result (Theorem 2.6) Chapter 4. Proving the single-cell freeness results Chapter 5. Computing $H^G_*(B \cup DV; A)$ in the key dimensions Chapter 6. Dimension-shifting long exact sequences Chapter 7. Complex Grassmannian manifolds Part 2. Observations about $RO(G)$-graded equivariant ordinary homology Chapter 8. The computation of $H^S_*$ for arbitrary $S$ Chapter 9. Examples of $H^S_*$ Chapter 10. $RO(G)$-graded box products Chapter 11. A weak universal coefficient theorem Chapter 12. Observations about Mackey functors
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Link to resource Available EBK13247

"Volume 167, number 794 (fourth of 5 numbers)."

Includes bibliographical references (p. 129).

Introduction Part 1. The homology of $\mathbb {Z}/p$-cell complexes with even-dimensional cells Chapter 1. Preliminaries Chapter 2. The main freeness theorem (Theorem 2.6) Chapter 3. An outline of the proof of the main freeness result (Theorem 2.6) Chapter 4. Proving the single-cell freeness results Chapter 5. Computing $H^G_*(B \cup DV; A)$ in the key dimensions Chapter 6. Dimension-shifting long exact sequences Chapter 7. Complex Grassmannian manifolds Part 2. Observations about $RO(G)$-graded equivariant ordinary homology Chapter 8. The computation of $H^S_*$ for arbitrary $S$ Chapter 9. Examples of $H^S_*$ Chapter 10. $RO(G)$-graded box products Chapter 11. A weak universal coefficient theorem Chapter 12. Observations about Mackey functors

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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