Metrizability Conditions for Compact, Countably Compact and Pseudocompact Spaces

Abstract

Metrizability criteria for compact spaces are both simpler and more original than in the general case. It is worth pointing out that there exists a variety of very diverse metrizability theorems related to compact spaces. It is possible to consider the question of metrizability of compact spaces as a small part of the theory of cardinal invariants of such spaces (see the following section). This part, however, is so special and important that it deserves a separate treatment.