# Article

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Keywords:
$\omega$-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.
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