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Gδ-diagonals and metrization
theorems
William George McArthur |
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Vol. 44 (1973), No. 2, 613–617
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Abstract |
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The topological space X is said to have a Gδ-diagonal if the diagonal Δ = {(x,x) : x ∈ X} is a Gδ-set in X ×X. It is easy to see that if X has a coarser metrizable topology, then X has a Gδ-diagonal. The main result is that a completely regular pseudocompact space with a regular Gδ-diagonal is metrizable. |
Mathematical Subject Classification 2000
Primary: 54E35
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Milestones
Received: 29 October 1971
Published: 1 February 1973
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Authors |
| William George McArthur | |
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