E-resources
Peer reviewed
Open access
-
Hegenbarth, Friedrich; Repovš, Dušan D.
Mediterranean journal of mathematics, 02/2023, Volume: 20, Issue: 1Journal Article
We apply the Gromov–Hausdorff metric d G for characterization of certain generalized manifolds. Previously, we have proven that with respect to the metric d G , generalized n -manifolds are limits of spaces which are obtained by gluing two topological n -manifolds by a controlled homotopy equivalence (the so-called 2-patch spaces). In the present paper, we consider the so-called manifold-like generalized n -manifolds X n , introduced in 1966 by Mardeić and Segal, which are characterized by the existence of δ -mappings f δ of X n onto closed manifolds M δ n , for arbitrary small δ > 0 , i.e., there exist onto maps f δ : X n → M δ n such that for every u ∈ M δ n , f δ - 1 ( u ) has diameter less than δ . We prove that with respect to the metric d G , manifold-like generalized n -manifolds X n are limits of topological n -manifolds M i n . Moreover, if topological n -manifolds M i n satisfy a certain local contractibility condition M ( ϱ , n ) , we prove that generalized n -manifold X n is resolvable.
Shelf entry
Permalink
- URL:
Impact factor
Access to the JCR database is permitted only to users from Slovenia. Your current IP address is not on the list of IP addresses with access permission, and authentication with the relevant AAI accout is required.
Year | Impact factor | Edition | Category | Classification | ||||
---|---|---|---|---|---|---|---|---|
JCR | SNIP | JCR | SNIP | JCR | SNIP | JCR | SNIP |
Select the library membership card:
If the library membership card is not in the list,
add a new one.
DRS, in which the journal is indexed
Database name | Field | Year |
---|
Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
---|
Source: Personal bibliographies
and: SICRIS
The material is available in full text. If you wish to order the material anyway, click the Continue button.