Triangulations of non-proper semialgebraic Thom maps

2010/06/24 by Masahiro Shiota, Shiota, Masahiro
Mathematics · #58K15 #58K20 #FOS: Mathematics #Geometric Topology (math.GT) #math.GT #msc:58K15 #msc:58K20

paper · pdf · doi:10.48550/arxiv.1006.4719

arxiv created 2010/06/24 · arxiv updated 2010/06/25

Abstract

In [5] I solved the Thom's conjecture that a proper Thom map is triangulable. In this paper I drop the properness condition in the semialgebraic case and, moreover, in the definable case in an o-minimal structure.

Related

• Geometric proof of Thom conjecture
• Thom polynomials for singularities of maps
• The Thom Conjecture for proper polynomial mappings
• Some remarks on Thom's Transversality Theorem
• Stable Pontryagin-Thom construction for proper maps