ON A STRONGER FORM OF HEREDITARY COMPACTNESS IN PRODUCT SPACES
The aim of this paper is to continue the study of sg-compact spaces.
The class of sg-compact spaces is a proper subclass of the class of hereditarily compact spaces. In our paper we shall consider sg-compactness
in product spaces. Our main result says that if a product space is sgcompact, then either all factor spaces are finite, or exactly one factor
space is infinite and sg-compact and the remaining ones are finite and
locally indiscrete.
Keywords:
sg-compact, Hereditarily compact, C2-space, Semi-open, sg-open sgclosed, hsg-closed,
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- Yayın Aralığı: 6
- Başlangıç: 2002
- Yayıncı: Hacettepe Üniversitesi Fen Fakultesi