In this paper quasi-developable spaces, quasi-WDelta-spaces, quasi-semi-stratifiable spaces and spaces with quasi-${G}^{*}_delta$-diagonal are studied. It is shown that every quasi-WDelta, quasi-semi-stratifiable space is a quasi-developable space. A regular space is quasi-semi-stratifiable if and only if it is a quasi-$beta$-space with quasi-${G}^{*}_delta$-diagonal. A regular space is quasi-semi-stratifiable if and only if it is a quasi-$alpha$ quasi-$beta$-space. A regular quasi-$beta$-space is a quasi-Moore space if and only if it is a quasi-$gamma$-space. A quasi-first-countable quasi-semi-stratifiable space is quasi-developable. A regular quasi-$q$-space is a quasi-Moore space if and only if it is a quasi-semi-stratifiable space. |
Keywords
quasi-Moore space, quasi-$G^{*}_delta$-diagonal, quasi-WDelta-space, quasi-first-countable space, quasi-$q$-space, quasi-$alpha$-space, quasi-$eta$-space, quasi-$gamma$-space.
Math Review Classification
Primary 54E30
Last Updated
21/4/97
Length
9 pages
Availability
This article is available in: