ACTA MATHEMATICA UNIVERSITATIS COMENIANAE

Vol. LXXII, 2 (2003)
p. 237 244

Minimality and Prehomogeneity
Samer Al Ghour


Abstract.  We introduce two new types of minimality; Namely: minimal set and minimal preopen set. Several results concerning these types and the known type (minimal open set) are obtained. We also introduce prehomogeneity concept as a generalization of homogeneity. Several results concerning it are given, some of which related to minimality concepts. Various counter examples relevant to the relations obtained in this paper are given.

AMS subject classification:  54B, 54C;
Keywords:  Minimal open sets, minimal sets, minimal preopen sets, homogeneity, prehomogeneity, generated topologies

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