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On a theorem of Jaworowski on locally equivariant contractible spaces
Author(s):
Sergei
M.
Ageev;
Dusan
Repovs
Journal:
Proc. Amer. Math. Soc.
130
(2002),
1539-1550.
MSC (1991):
Primary 54C55, 57S10;
Secondary 54C20, 54C60, 54F65, 55M15
Posted:
October 5, 2001
MathSciNet review:
1879981
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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:
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
Posted:
October 5, 2001
Communicated by:
Alan Dow
Copyright of article:
Copyright
2001,
American Mathematical Society
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