Productively countably tight spaces of the form C_k(X)

Abstract

Some results in C_k-theory are obtained with the use of bornologies. We investigate under which conditions the space of the continuous real functions with the compact-open topology is a productively countably tight space, which yields some applications on Alster spaces.

arXiv commentNotation for the compact-open topology changed; Theorem 3.5 improved

References in corpus (1)

• Remarks on countable tightness

Cited by in corpus (1)

• Selective Games on Binary Relations