On nerves of fine coverings of acyclic spaces
Povzetek
The main results of this paper are: (1) If a space ▫$X$▫ can be embedded as a cellular subspace of ▫$\mathbb{R}^n$▫ then ▫$X$▫ admits arbitrary fine open coverings whose nerves are homeomorphic to the ▫$n$▫-dimensional cube ▫$D^n$▫. (2) Every ▫$n$▫-dimensional cell-like compactum can be embedded into ▫$(2n+1)$▫-dimensional Euclidean space as a cellular subset. (3) There exists a locally compact planar set which is acyclic with respect to Čech homology and whose fine coverings are all nonacyclic.
Ključne besede
planar acyclic space;cellular compactum;absolute neighborhood retract;nerve;fine covering;embedding into Euclidean space;Čech homology;
Podatki
| Jezik: | Angleški jezik |
|---|---|
| Leto izida: | 2015 |
| Tipologija: | 1.01 - Izvirni znanstveni članek |
| Organizacija: | UL FMF - Fakulteta za matematiko in fiziko |
| UDK: | 515.164 |
| COBISS: |
16978521
|
| ISSN: | 1660-5446 |
| Št. ogledov: | 433 |
| Št. prenosov: | 361 |
| Ocena: | 0 (0 glasov) |
| Metapodatki: |
|
Ostali podatki
| Vrsta dela (COBISS): | Članek v reviji |
|---|---|
| Strani: | str. 205-217 |
| Letnik: | ǂVol. ǂ12 |
| Zvezek: | ǂno. ǂ1 |
| Čas izdaje: | 2015 |
| DOI: | http://dx.doi.org/10.1007/s00009-014-0383-4 |
| ID: | 11233719 |
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