Invariance of domain in o-minimal structures
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 289-294
MSC: Primary 32B20, 32K99; Secondary 14P10.
DOI: 10.4064/ap77-3-7
Abstract
The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.
