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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On a theorem of Jaworowski on locally equivariant contractible spaces
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by Sergei M. Ageev and Dušan Repovš PDF
Proc. Amer. Math. Soc. 130 (2002), 1539-1550 Request permission

Abstract:

Ancel’s method of fiberwise trivial relations is applied to the problem of characterization of absolute equivariant extensors. We obtain a generalization of Jaworowski’s theorem on characterization of equivariant extensors lying in $\mathbb {R}^{n}$ to the case when the space is infinite-dimensional, has infinitely many orbit types and the acting compact group $G$ is not necessarily a Lie group.
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Additional Information
  • Sergei M. Ageev
  • Affiliation: Department of Mathematics, Brest State University, Brest, Belarus 224011
  • Email: ageev@highmath.brsu.brest.by
  • Dušan Repovš
  • Affiliation: Institute of Mathematics, Physics and Mechanics, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia 1001
  • MR Author ID: 147135
  • ORCID: 0000-0002-6643-1271
  • Email: dusan.repovs@uni-lj.si
  • Received by editor(s): May 17, 2000
  • Received by editor(s) in revised form: November 10, 2000
  • Published electronically: October 5, 2001
  • Communicated by: Alan Dow
  • © Copyright 2001 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 130 (2002), 1539-1550
  • MSC (1991): Primary 54C55, 57S10; Secondary 54C20, 54C60, 54F65, 55M15
  • DOI: https://doi.org/10.1090/S0002-9939-01-06184-6
  • MathSciNet review: 1879981