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The $R{\rm O}(G)$-graded equivariant ordinary homology of $G$-cell complexes with even-dimensional cells for $G={\Bbb Z}/p$

About this Title

Kevin K. Ferland and L. Gaunce Lewis, Jr.

Publication: Memoirs of the American Mathematical Society
Publication Year 2004: Volume 167, Number 794
ISBNs: 978-0-8218-3461-9 (print); 978-1-4704-0392-8 (online)
MathSciNet review: 2025457
MSC: Primary 55N91; Secondary 55M35, 55R40, 57S17

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Table of 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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