dc.contributor.author |
Antonyan, SA |
|
dc.date.accessioned |
2011-01-22T10:27:14Z |
|
dc.date.available |
2011-01-22T10:27:14Z |
|
dc.date.issued |
2005 |
|
dc.identifier.issn |
0362-1588 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/1392 |
|
dc.description.abstract |
Let G be a compact Lie group. We prove that a metrizable G-space X is a G-ANE (resp., a G-AE) iff X is an ANE (resp., an AE) and, for any closed subgroup H C G, the H-fixed point set X[H] is a strong neighborhood H-deformation retract (resp., a strong H-deformation retract) of X. If a G-space X has no G-fixed point, then X is a G-ANE provided that X is an H-ANE for any subgroup H C G that occurs as a stabilizer in X. As an application, we give a new proof of the equivariant Dugundji extension theorem in the metrizable case. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
A characterization of equivariant absolute extensors and the equivariant Dugundji theorem |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
1517 |
|
dc.source.novolpages |
31(2):451-462 |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
G-ANE |
|
dc.subject.keywords |
equivariant extension, slice, H-fixed point set, H-orbit space |
|
dc.relation.journal |
Houston Journal of Mathematics |
|