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http://dx.doi.org/10.5831/HMJ.2013.35.2.319

THE EQUIVALENCE CONDITIONS FOR SEMIALGEBRAICALLY PROPER MAPS

Park, Dae Heui (Department of Mathematics, College of Natural Sciences, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.35, no.2, 2013 , pp. 319-327 More about this Journal

Abstract

In this paper we compare the notion of proper map in the category of topological spaces with that in the category of semialgebraic sets. To do this, we find some equivalence conditions for semialgebraically proper maps. In particular, we prove that a continuous semialgebraic map is semialgebraically proper if and only if it is proper. Moreover, we compare the semialgebraically proper map with the proper map in the sense of Delfs and Knebush [4].

Keywords

semialgebraic set; semialgebraic map; proper map;

Citations & Related Records

Reference

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