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On products of pseudo-open maps and some related matters

โœ Scribed by Yoshio Tanaka

Publisher
Elsevier Science
Year
1978
Weight
1017 KB
Volume
8
Category
Article
ISSN
0016-660X

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โœฆ Synopsis

As a generalization of closed maps and oipen mcrps, Arhangel'skii introduced the notion of pseudcropen maps and showed that such maps are precisely hereditarily quotient. In this paper, we shall investigate the product of two or couatably many pseudo-open map., and refute the plausible conjecture: If each f" is closed, then f" is pseudo-open, or at least quotient. NIoreover, as rehited matters, we shall consider countable products of closed mqps.

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