an:01883661
Zbl 1106.54011
Lowen, R.; Verbeeck, C.
Local compactness in approach spaces. II
EN
Int. J. Math. Math. Sci. 2003, No. 2, 109-117 (2003).
00093399
2003
j
54D45 54A05 54B10
locally compact; approach space; open map; product
Various kinds of local compactness for approach spaces were introduced in a previous paper by the authors [Int. J. Math. Math. Sci. 21, No 3. 429--438 (1998; Zbl 0906.54020)]. In the present paper, they define an analogy of open maps for approach spaces, called expansions. It is proved that every expansive contractive image of any locally compact approach space is locally compact of the same kind. Locally compact products are characterized similarly as in topological spaces.
Miroslav Hu??ek (Praha)
Zbl 0906.54020