## A countably compact $kā$-space need not be countably $\textbf {bi}-k$

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- by Roy C. Olson PDF
- Proc. Amer. Math. Soc.
**62**(1977), 144-148 Request permission

## Abstract:

An example is given of a countably compact*k*ā-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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## Additional Information

- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**62**(1977), 144-148 - MSC: Primary 54D50; Secondary 54G20
- DOI: https://doi.org/10.1090/S0002-9939-1977-0493974-1
- MathSciNet review: 0493974