The Lefschetz coincidence theorem in o-minimal expansions of fields

TL;DR

This paper extends the Lefschetz coincidence theorem to o-minimal structures, utilizing o-minimal singular homology and cohomology to establish the result.

Contribution

It provides the first proof of the Lefschetz coincidence theorem within o-minimal expansions of fields, bridging topology and model theory.

Findings

Proves the Lefschetz coincidence theorem in o-minimal settings

Utilizes o-minimal singular homology and cohomology techniques

Establishes foundational topological results in o-minimal structures

Abstract

In this paper we prove the Lefschetz coincidence theorem in o-minimal expansions of fields using the o-minimal singular homology and cohomology.