Namespaces
Variants
Actions

Difference between revisions of "Representative subspace"

From Encyclopedia of Mathematics
Jump to: navigation, search
(Importing text file)
 
m (link)
 
(One intermediate revision by one other user not shown)
Line 1: Line 1:
A subspace <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r081/r081500/r0815001.png" /> of a [[Topological space|topological space]] <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r081/r081500/r0815002.png" /> such that the inclusion <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/r/r081/r081500/r0815003.png" /> is a weak homotopy equivalence (cf. [[Homotopy type|Homotopy type]]).
+
<!--
 +
r0815001.png
 +
$#A+1 = 3 n = 0
 +
$#C+1 = 3 : ~/encyclopedia/old_files/data/R081/R.0801500 Representative subspace
 +
Automatically converted into TeX, above some diagnostics.
 +
Please remove this comment and the {{TEX|auto}} line below,
 +
if TeX found to be correct.
 +
-->
 +
 
 +
{{TEX|auto}}
 +
{{TEX|done}}
 +
 
 +
A subspace  $  X $of a [[topological space]] $  Y $ such that the inclusion $  X \subset  Y $ is a [[weak homotopy equivalence]].

Latest revision as of 13:04, 24 December 2020


A subspace $ X $of a topological space $ Y $ such that the inclusion $ X \subset Y $ is a weak homotopy equivalence.

How to Cite This Entry:
Representative subspace. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Representative_subspace&oldid=13672
This article was adapted from an original article by A.F. Kharshiladze (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article