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The RO(G)-graded equivariant ordinary homology of G-cell complexes with even-dimensional cells for G=Z/p

Author: Kevin K Ferland; L G Lewis
Publisher: Providence, R.I. : American Mathematical Society, 2004.
Series: Memoirs of the American Mathematical Society, no. 794.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

It is well known that the homology of a CW-complex with cells only in even dimensions is free. The equivariant analog of this result for $G$-cell complexes is, however, not obvious, since  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Kevin K Ferland; L G Lewis
ISBN: 0821834614 9780821834619
OCLC Number: 53038382
Notes: "Volume 167, number 794 (fourth of 5 numbers)."
Description: vii, 129 pages : illustrations ; 26 cm.
Contents: Part 1. The Homology of $\mathbb{Z}/p$-Cell Complexes with Even-Dimensional Cells: Preliminaries The main freeness theorem (Theorem 2.6) An outline of the proof of the main freeness result (Theorem 2.6) Proving the single-cell freeness results Computing $H^G_\ast(B\cup DV; A)$ in the key dimensions Dimension-shifting long exact sequences Complex Grassmannian manifolds Part 2. Observations about $RO(G)$-Graded Equivariant Ordinary Homology: The computation of $H^S_\ast$ for arbitrary $S$ Examples of $H^S_\ast$ $RO(G)$-graded box products A weak Universal Coefficient Theorem Observations about Mackey functors Bibliography.
Series Title: Memoirs of the American Mathematical Society, no. 794.
Responsibility: Kevin K. Ferland, L. Gaunce Lewis, Jr.

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