Continuous selections and 𝐶-spaces

Gutev, Valentin; Valov, Vesko

doi:10.1090/S0002-9939-01-05995-0

Continuous selections and $C$-spaces
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by Valentin Gutev and Vesko Valov PDF

Proc. Amer. Math. Soc. 130 (2002), 233-242 Request permission

Abstract:

A characterization of paracompact $C$-spaces via continuous selections avoiding $Z_\infty$-sets is given. The result is applied to prove a countable sum theorem for paracompact $C$-spaces, and to obtain a new partial solution of a question raised by E. Michael.

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