H-connected inverse limit spaces (Q2701849)
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: H-connected inverse limit spaces |
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | H-connected inverse limit spaces |
scientific article |
Statements
28 March 2001
0 references
proper map
0 references
H-connected
0 references
local homeomorphism
0 references
H-connected inverse limit spaces (English)
0 references
A connected Hausdorff space \(Y\) is said to be H-connected if any proper local homeomorphism \(f:X\to Y\) from a connected Hausdorff space \(X\) onto \(Y\) is a (global) homeomorphism. It is shown that the limit space of an inverse sequence of H-connected metric continua with open onto bonding mappings is H-connected.
0 references
