On a theorem of Jaworowski on locally equivariant contractible spaces

Ageev, Sergei; Repovš, Dušan

doi:10.1090/S0002-9939-01-06184-6

On a theorem of Jaworowski on locally equivariant contractible spaces
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by Sergei M. Ageev and Dušan Repovš

Proc. Amer. Math. Soc. 130 (2002), 1539-1550

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

Published electronically: October 5, 2001

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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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