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Published in 2017 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2017.435
Abstract: In this paper, we present a new subring of $C(X)$ that contains the subring $C_c(X)$, the set of all continuous functions with countable image. Let $L_{cc}(X)=\{ f\in C(X)\,:\, |X\backslash C_f|\leq \aleph_0 \}$, where $C_f$ is the…
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Keywords:
countable subalgebra;
locally countable;
domain cocountable;
local domain ... See more keywords