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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-7,
author = {Rafa\l\ Pierzcha\l a},
title = {Invariance of domain in o-minimal structures},
journal = {Annales Polonici Mathematici},
volume = {77},
year = {2001},
pages = {289-294},
zbl = {0990.32002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-7}
}
Rafał Pierzchała. Invariance of domain in o-minimal structures. Annales Polonici Mathematici, Tome 77 (2001) pp. 289-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap77-3-7/