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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On a theorem of Jaworowski on locally equivariant contractible spaces


Authors: Sergei M. Ageev and Dusan Repovs
Journal: Proc. Amer. Math. Soc. 130 (2002), 1539-1550
MSC (1991): Primary 54C55, 57S10; Secondary 54C20, 54C60, 54F65, 55M15
Published electronically: October 5, 2001
MathSciNet review: 1879981
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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

Dusan Repovs
Affiliation: Institute of Mathematics, Physics and Mechanics, University of Ljubljana, P.O. Box 2964, Ljubljana, Slovenia 1001
Email: dusan.repovs@uni-lj.si

DOI: http://dx.doi.org/10.1090/S0002-9939-01-06184-6
PII: S 0002-9939(01)06184-6
Keywords: Local equivariant contractibility, absolute equivariant extensor, fiberwise trivial relation, countable dimensional orbit space, selections of multivalued maps
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
Article copyright: © Copyright 2001 American Mathematical Society