Subparacompactness and 𝐺_{𝛿}-diagonals in Arhangel′skiĭ’s class 𝑀𝑂𝐵𝐼

Bennett, H. R.; Berney, E. S.

doi:10.1090/S0002-9939-1971-0283760-4

Subparacompactness and $G_{\delta }$-diagonals in Arhangel′skiĭ’s class $\textrm {MOBI}$
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by H. R. Bennett and E. S. Berney

Proc. Amer. Math. Soc. 30 (1971), 573-577

DOI: https://doi.org/10.1090/S0002-9939-1971-0283760-4

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Abstract:

In this note it is shown that a topological space in Arhangel’skiĭ’s class MOBI need not be subparacompact nor have a ${G_\delta }$-diagonal.

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