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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On an extension of localization theorem and generalized Conner conjecture
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by Satya Deo, Tej Bahadur Singh and Ram Anugrah Shukla PDF
Trans. Amer. Math. Soc. 269 (1982), 395-402 Request permission

Abstract:

Let $G$ be a compact Lie group. Then Borel-Segal-Quillen-Hsiang localization theorems are known for any $G$-space $X$ where $X$ is any compact Hausdorff space or a paracompact Hausdorff space of finite cohomology dimension. The Conner conjecture proved by Oliver and its various generalizations by Skjelbred are also known for only these two classes of spaces. In this paper we extend all of these results for the equivariant category of all finitistic $G$-spaces. For the case when $G = {Z_p}$ or $G = T$ (torus) some of these results were already proved by Bredon.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 269 (1982), 395-402
  • MSC: Primary 57S10
  • DOI: https://doi.org/10.1090/S0002-9947-1982-0637697-0
  • MathSciNet review: 637697