On two problems in extension theory
| dc.creator | Karasev, A. V. | |
| dc.date | 2003-12-12 | |
| dc.date.accessioned | 2026-07-07T05:03:53Z | |
| dc.date.available | 2026-07-07T05:03:53Z | |
| dc.description | In this note we introduce the concept of a quasi-finite complex. Next, we show that for a given countable and locally finite CW complex L the following conditions are equivalent: (i) L is quasi-finite. (ii) There exists a [L]-invertible mapping of a metrizable compactum X with e-dim X = [L] onto the Hilbert cube. Finally, we construct an example of a quasi-finite complex L such that its extension type [L] does not contain a finitely dominated complex. | |
| dc.identifier | https://arxiv.org/abs/math/0312269 | |
| dc.identifier | http://arxiv.org/abs/math/0312269 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69594 | |
| dc.subject | Geometric Topology | |
| dc.subject | 55M10; 54F45 | |
| dc.title | On two problems in extension theory | |
| dc.type | text |