Abstract: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.
Keywords: $\omega $-cover, $vet^* (X)$, tightness, fan-tightness, biquotient mapping, $C_p(X)$
AMS Subject Classification: 54A25, 54C35