On weakly $\mathcal {K}$-countably determined spaces of continuous functions
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- by S. Argyros and S. Negrepontis PDF
- Proc. Amer. Math. Soc. 87 (1983), 731-736 Request permission
Abstract:
A compact space $K$ is said to be Gul’ko compact if the space $C(K)$ is $\mathcal {K}$-countably determined in the weak topology. Well-known compact sets, such as Eberlein compact sets, are Gul’ko compact. We prove here that the countable chain condition and metrizability are equivalent for Gul’ko compact sets.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 731-736
- MSC: Primary 54D30; Secondary 46E10, 54E35
- DOI: https://doi.org/10.1090/S0002-9939-1983-0687652-6
- MathSciNet review: 687652