Sakai, Masami Property \(C''\) and function spaces. (English) Zbl 0691.54007 Proc. Am. Math. Soc. 104, No. 3, 917-919 (1988). Summary: For a Tychonoff space X, we show that each finite product of X has property \(C''\) iff \(C_ p(X)\) has countable strong fan tightness, where \(C_ p(X)\) is the function space on X with the topology of pointwise convergence. Cited in 1 ReviewCited in 60 Documents MSC: 54C35 Function spaces in general topology 54A25 Cardinality properties (cardinal functions and inequalities, discrete subsets) 54D20 Noncompact covering properties (paracompact, Lindelöf, etc.) 54B10 Product spaces in general topology Keywords:property \(C^{\prime\prime }\); countable strong fan tightness PDFBibTeX XMLCite \textit{M. Sakai}, Proc. Am. Math. Soc. 104, No. 3, 917--919 (1988; Zbl 0691.54007) Full Text: DOI