A countably compact 𝑘’-space need not be countably 𝑏𝑖-𝑘

Olson, Roy C.

doi:10.1090/S0002-9939-1977-0493974-1

A countably compact $k’$-space need not be countably $\textbf {bi}-k$
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by Roy C. Olson

Proc. Amer. Math. Soc. 62 (1977), 144-148

DOI: https://doi.org/10.1090/S0002-9939-1977-0493974-1

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Abstract:

An example is given of a countably compact k’-space that is not countably bi-k. Interest for this example arises from a recent paper of Michael, Olson, and Siwiec and from a 1972 paper of E. Michael, both of which discuss mapping characterizations of a range space. The construction of the example assumes the continuum hypothesis.

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