Proper subspace inherited properties, new characterizations of classical topological properties, and related new properties (Q2928819)
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: Proper subspace inherited properties, new characterizations of classical topological properties, and related new properties |
scientific article; zbMATH DE number 6367716
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proper subspace inherited properties, new characterizations of classical topological properties, and related new properties |
scientific article; zbMATH DE number 6367716 |
Statements
10 November 2014
0 references
Proper subspace inherited properties, new characterizations of classical topological properties, and related new properties (English)
0 references
This article is dedicated to the discussion of proper subspace inherited properties. It is shown that for a \(i=0, 1, 2, 3\) the separation axioms \(T_{i}\) are proper subspace inherited properties and for \(i=0, 1\) the separation axioms \(R_{i}\) are proper subspace inherited properties. It is also shown that weakly Urysohn, regular, normal, Lindelöf, compact, separable, first countable, and second countable are proper subspace inherited properties.
0 references
