PL and differential topology in o-minimal structure

2010/02/08 by Masahiro Shiota, Shiota, Masahiro
Mathematics · #03C64 #57Q05 #57Q25 #Advanced Topology and Set Theory #FOS: Mathematics #Geometric Topology (math.GT) #Logic (math.LO) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.1002.1508

openalex publication_date 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Arguments on PL,(=piecewise linear) topology work over any ordered field in the same way as over the real field, and those on differential topology do over a real closed field R in an o-minimal structure that expands (R,

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