Locally homogeneous ANR-spaces (Q789041)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Locally homogeneous ANR-spaces |
scientific article; zbMATH DE number 3844602
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Locally homogeneous ANR-spaces |
scientific article; zbMATH DE number 3844602 |
Statements
Locally homogeneous ANR-spaces (English)
0 references
1985
0 references
It is proved that every locally compact, locally homogeneous separable ANR satisfies Brouwer's theorem on the invariance of domain, and that each connected space of this type is a Cantor manifold. Also it is shown that a closed subset of such a space has a nonempty interior if and only if it has the same dimension as the entire space.
0 references
locally compact, locally homogeneous separable ANR
0 references
Brouwer's theorem on the invariance of domain
0 references
connected space
0 references
Cantor manifold
0 references
closed subset
0 references
dimension
0 references
0.9124725
0 references
0 references
0.9051061
0 references
0.8945583
0 references
0.88957226
0 references
0 references
0.8787173
0 references
0.8763539
0 references
0 references
