dc.contributor.author |
Antonyan, SA |
|
dc.date.accessioned |
2011-01-22T10:26:55Z |
|
dc.date.available |
2011-01-22T10:26:55Z |
|
dc.date.issued |
2002 |
|
dc.identifier.issn |
0166-8641 |
|
dc.identifier.uri |
http://hdl.handle.net/11154/2536 |
|
dc.description.abstract |
It is proved that: (1) every Lie group G can act properly (in sense of Palais) on each infinite-dimensional Hilbert space 12 (T) of a given weight tau such that (G, l(2) (tau)) becomes a universal G-space for all metrizable proper G-spaces admitting an invariant metric and having weight less than or equal to tau |
en_US |
dc.description.abstract |
(2) every Lie group G can act properly on R-tau \ {0} such that (G, R-tau \ {0}) becomes a universal G-space for all Tychonoff proper G-spaces of weight less than or equal to tau |
en_US |
dc.description.abstract |
(3) there is a dispersive dynamical system on l(2), universal for all separable, metrizable, dispersive dynamical systems having a regular orbit space. Other universal proper G-spaces are constructed. As a corollary a shorter proof of Palais' invariant metric existence theorem is obtained. The metric cones con(G/H), with H c G a compact Subgroup, are the main building blocs in our approach. (C) 2002 Elsevier Science B.V. All rights reserved. |
en_US |
dc.language.iso |
en |
en_US |
dc.title |
Universal proper G-spaces |
en_US |
dc.type |
Article |
en_US |
dc.identifier.idprometeo |
2257 |
|
dc.source.novolpages |
117(1):23-43 |
|
dc.subject.wos |
Mathematics, Applied |
|
dc.subject.wos |
Mathematics |
|
dc.description.index |
WoS: SCI, SSCI o AHCI |
|
dc.subject.keywords |
universal proper G-space |
|
dc.subject.keywords |
dispersive dynamical system |
|
dc.subject.keywords |
orbit space |
|
dc.subject.keywords |
equivariant embedding |
|
dc.subject.keywords |
Hilbert space |
|
dc.subject.keywords |
Tychonoff G-cube |
|
dc.subject.keywords |
G-ANE space |
|
dc.relation.journal |
Topology and Its Applications |
|