On pseudo-k-spaces

Abstract

In this note a new class of topological spaces generalizing k-spaces, the pseudo-k-spaces, is introduced and investigated. Particular attention is given to the study of products of such spaces, in analogy to what is already known about k-spaces and quasi-k-spaces.

Keywords

• Quotient map
• Product space
• Locally compact space
• (locally) Pseudocompact space
• Pseudo-k-space