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

DOI:
https://doi.org/10.1090/S0002-9939-01-06184-6

Published electronically:
October 5, 2001

MathSciNet review:
1879981

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

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 to the case when the space is infinite-dimensional, has infinitely many orbit types and the acting compact group 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:
https://doi.org/10.1090/S0002-9939-01-06184-6

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