Thom's first isotopy lemma
id:
thom-s-first-isotopy-lemma-268-17602690
title:
Thom's first isotopy lemma
text:
In mathematics, especially in differential topology, Thom's first isotopy lemma states: given a smooth map f : M → N between smooth manifolds and S ⊂ M a closed Whitney stratified subset, if f | S is proper and f | A is a submersion for each stratum A of S , then f | S is a locally trivial fibration. The lemma was originally introduced by René Thom who considered the case when N = R . In that case, the lemma constructs an isotopy from the fiber f − 1 to f − 1 ; whence the name "isotopy lemma". T
brand slug:
wiki
category slug:
encyclopedia
description:
Theorem
original url:
https://en.wikipedia.org/wiki/Thom%27s_first_isotopy_lemma
date created:
date modified:
2023-09-06T09:28:09Z
main entity:
{"identifier":"Q113134061","url":"https://www.wikidata.org/entity/Q113134061"}
image:
fields total:
13
integrity:
14