Thom's conjecture on triangulations of maps
type: Item
instance of: scholarly article
title: Thom's conjecture on triangulations of maps
zbMATH Open document ID: 0934.57028
DOI: 10.1016/S0040-9383(99)00022-1
author: Masahiro Shiota
published in: Topology
publication date: 2000-01-04T00:00:00Z
review text: Two proper maps, \(f_i: X_i\to Y_i\) between closed subsets of \(E^n\) are R-L equivalent if there exist maps \(\eta:Y_1\to Y_2\), \(\tau: X_1\to X_2\) so that \(\eta\circ f_1=f_2\circ\tau\). A map is called triangulable if it is R-L equivalent to a PL map. In [Enseign. Math., II. Sér. 8, 24-33 (1962; Zbl 0109.40002)] \textit{R. Thom} conjectured that a map ``stratifiée sans éclatement'' is triangulable. The author proves a more general form of this conjecture.
Mathematics Subject Classification ID: 57R05
Mathematics Subject Classification ID: 57Q15
Mathematics Subject Classification ID: 57N80
zbMATH DE Number: 1384254
zbMATH Keywords: triangulable map
zbMATH Keywords: PL map
zbMATH Keywords: tubular neighborhood stratification
Wikidata QID: Q123327698
reviewed by: Lee P. Neuwirth
MaRDI profile type: Publication
full work available at URL: s0040-9383(99)00022-1
OpenAlex ID: W2001425303
description: scientific article; zbMATH DE number 1384254