On homomorphism spaces of metrizable groups
| dc.creator | Lukacs, Gabor | |
| dc.date | 2002-08-14 | |
| dc.date | 2003-05-07 | |
| dc.date.accessioned | 2026-07-07T04:50:15Z | |
| dc.date.available | 2026-07-07T04:50:15Z | |
| dc.description | For two not necessarily commutative topological groups G and T, let H(G,T) denote the space of all continuous homomorphisms from G to T with the compact-open topology. We prove that if G is metrizable and T is compact then H(G,T) is a k-space. As a consequence we obtain that if G_1 is a dense subgroup of G then H(G_1,T) is homeomorphic to H(G,T), and if G is separable h-complete, then the natural map G --> C(H(G,T),T) is open onto its image. | |
| dc.description | v3 (revision of March 17, 2003): slight changes in general, the proof of the last theorem has been rewritten | |
| dc.identifier | https://arxiv.org/abs/math/0208115 | |
| dc.identifier | http://arxiv.org/abs/math/0208115 | |
| dc.identifier | J. Pure Appl. Algebra 182 (2003), no. 2-3, 263--267 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64725 | |
| dc.subject | General Topology | |
| dc.subject | Group Theory | |
| dc.subject | 22A05 | |
| dc.title | On homomorphism spaces of metrizable groups | |
| dc.type | text |