More nondevelopable spaces in 𝑀𝑂𝐵𝐼

Chaber, J.

doi:10.1090/S0002-9939-1988-0938688-3

More nondevelopable spaces in $\textrm {MOBI}$
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Proc. Amer. Math. Soc. 103 (1988), 307-313 Request permission

Abstract:

We construct two spaces with a point-countable base, the first is not weakly $\theta$-refinable, while the second is not a ${\sigma ^\# }$-space. Both spaces can be represented as open and compact images of metacompact developable Hausdorff spaces. This answers questions of H. R. Bennett and R. F. Gittings.

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