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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