Metric properties of semialgebraic mappings
Algebraic Geometry
2014-12-17 v1
Abstract
We give an effective estimation from above for the local {\L}ojasiewicz exponent for separation of semialgebraic sets and for a semialgebraic mapping on a closed semialgebraic set. We also give an effective estimation from below of the {\L}ojasiewicz exponent in the global separation for semialgebraic sets and estimation of the {\L}ojasiewicz exponent at infinity of a semialgebraic mapping similar to the Jelonek result in the complex case.
Keywords
Cite
@article{arxiv.1412.5088,
title = {Metric properties of semialgebraic mappings},
author = {Krzysztof Kurdyka and Stanisław Spodzieja and Anna Szlachcińska},
journal= {arXiv preprint arXiv:1412.5088},
year = {2014}
}