Invariance of domain in o-minimal structures

Rafał Pierzchała

Annales Polonici Mathematici (2001)

  • Volume: 77, Issue: 3, page 289-294
  • ISSN: 0066-2216

Abstract

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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.

How to cite

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Rafał Pierzchała. "Invariance of domain in o-minimal structures." Annales Polonici Mathematici 77.3 (2001): 289-294. <http://eudml.org/doc/280799>.

@article{RafałPierzchała2001,
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.},
author = {Rafał Pierzchała},
journal = {Annales Polonici Mathematici},
keywords = {-minimal structure; cell decomposition; definable sets; stratification; invariance of domain},
language = {eng},
number = {3},
pages = {289-294},
title = {Invariance of domain in o-minimal structures},
url = {http://eudml.org/doc/280799},
volume = {77},
year = {2001},
}

TY - JOUR
AU - Rafał Pierzchała
TI - Invariance of domain in o-minimal structures
JO - Annales Polonici Mathematici
PY - 2001
VL - 77
IS - 3
SP - 289
EP - 294
AB - 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.
LA - eng
KW - -minimal structure; cell decomposition; definable sets; stratification; invariance of domain
UR - http://eudml.org/doc/280799
ER -

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