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Keywords:
$\omega $-cover; $vet^*(X)$; tightness; fan-tightness; biquotient mapping; $C_p(X)$
$\omega $-cover; $vet^*(X)$; tightness; fan-tightness; biquotient mapping; $C_p(X)$
Summary:
Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings.
References:
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[2] Arhangelskii A.: Topological Function Spaces. Kluwer Academic Publishers Group, Dortrecht (1992). MR 1144519
[3] Arhangelskii A., Bella A.: Countable tightness versus countable fan-tightness. Comment. Math. Univ. Carolinae 37.3 (1996), 565-576. MR 1426921
[4] Engelking R.: General Topology. Heldermann Verlag, Berlin (1989). MR 1039321 | Zbl 0684.54001
[5] Sakai M.: Property $C''$ and function spaces. Proc. Amer. Math. Soc. 104 (1988), 917-919. MR 0964873 | Zbl 0691.54007
[6] Uspenskii V.V.: Frequency spectrum of functional spaces. Moscow Univ. Math. Bulletin 37 (1) (1982), 40-45.
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