Portugaliæ Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
MATHEMATICA
Vol. 55, No. 4, pp. 457-464 (1998)

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More on SG-compact Spaces

Julian Dontchev and Maximilian Ganster

Department of Mathematics, University of Helsinki,
PL 4, Yliopistonkatu 15, 00014 Helsinki 10 - FINLAND
E-mail: dontchev@cc.helsinki.fi Department of Mathematics, Graz University of Technology,
Steyrergasse 30, A-8010 Graz - AUSTRIA
E-mail: ganster@weyl.math.tu-graz.ac.at

Abstract: The aim of this paper is to continue the study of sg-compact spaces, a topological notion much stronger than hereditary compactness. We investigate the relations between sg-compact and $C_2$-spaces and the interrelations to hereditarily sg-closed sets.

Keywords: sg-compact; semi-compact; $C_2$-space; semi-open set; sg-open set; hsg-closed sets.

Classification (MSC2000): 54D30, 54A05; 54H05, 54G99

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