A covering property which implies isocompactness. I

Worrell, J. M.; Wicke, H. H.

doi:10.1090/S0002-9939-1980-0565365-6

A covering property which implies isocompactness. I
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by J. M. Worrell and H. H. Wicke

Proc. Amer. Math. Soc. 79 (1980), 331-334

DOI: https://doi.org/10.1090/S0002-9939-1980-0565365-6

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Abstract:

We define a covering property for a topological space which does not explicitly mention countability or finitude of collections although it generalizes weak $\delta \theta$-refinability. We prove a general theorem that implies that countably compact spaces having the covering property are compact.

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