A converse of the Borel formula
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- by Ronald M. Dotzel PDF
- Trans. Amer. Math. Soc. 250 (1979), 275-287 Request permission
Abstract:
When an elementary Abelian p-group acts on a ${Z_p}$-homology sphere (p a prime), it is known that the Borel formula must hold. Here we ask that the Borel formula hold and determine how this restricts, homologically, the type of space which can occur, assuming spherical fixed sets and connectedness. This is done by constructing a linear model of the action and an equivariant map to the model, the mapping cone of which yields certain homological information.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 250 (1979), 275-287
- MSC: Primary 55M35
- DOI: https://doi.org/10.1090/S0002-9947-1979-0530056-0
- MathSciNet review: 530056