Metric properties of semialgebraic mappings
  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. 
Krzysztof Kurdyka, Stanis{\l}aw Spodzieja, Anna Szlachci\'nska
math.AG