k-space function spaces

Abstract

A study is made of the properties on X which characterize when Cπ(X) is a k-space, where Cπ(X) is the space of real-valued continuous functions on X having the topology of pointwise convergence. Other properties related to the k-space property are also considered.

Keywords

• function spaces
• k-spaces
• sequential spaces
• Fréchet spaces
• countable tightness
• k-countable
• τ-countable.