On a stronger form of hereditary compactness in product spaces
General Topology
2007-05-23 v1
Abstract
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 sg-compact, 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.
Cite
@article{arxiv.math/9810174,
title = {On a stronger form of hereditary compactness in product spaces},
author = {Julian Dontchev and Maximilian Ganster},
journal= {arXiv preprint arXiv:math/9810174},
year = {2007}
}
Comments
9 pages