On a theorem of Jaworowski on locally equivariant contractible spaces
Authors:
Sergei M. Ageev and Dusan Repovs
Journal:
Proc. Amer. Math. Soc. 130 (2002), 15391550
MSC (1991):
Primary 54C55, 57S10; Secondary 54C20, 54C60, 54F65, 55M15
Published electronically:
October 5, 2001
MathSciNet review:
1879981
Fulltext PDF Free Access
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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 to the case when the space is infinitedimensional, 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@unilj.si
DOI:
http://dx.doi.org/10.1090/S0002993901061846
PII:
S 00029939(01)061846
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
