|
|||||
|
|
|
|
|
|
|
|
|
Moore spaces and
w Δ-spaces
Richard Earl Hodel |
|
Vol. 38 (1971), No. 3, 641–652
|
Abstract |
|
This paper is a study of conditions under which a wΔ-space is a Moore space. In §2 we introduce the notion of a Gδ∗− diagonal and show that every wΔ-space with a Gδ∗-diagonal is developable. In §3 we prove that every regular 𝜃-refinable wΔ-space with a point-countable separating open cover is a Moore space. In §4 we introduce the class of α-spaces and show that a regular wΔ-space is a Moore space if and only if it is an α-space. Finally, in §5 we study a new class of spaces which generalizes both semi-stratifiable and wΔ-spaces. |
Mathematical Subject Classification 2000
Primary: 54D20
Secondary: 54E30
|
Milestones
Received: 8 June 1970
Published: 1 September 1971
|
Authors |
| Richard Earl Hodel | |
|
