Abstract:The main aim of this work is to show, in the absence of the Axiom of Choice, fundamental results on E-compact extensions of E-completely regular spaces, in particular, on Hewitt realcompactifications and Banaschewski compactifications. Some original results concern a special subring of the ring of all continuous real functions on a given zerodimensional T 1 -space. New facts about P -spaces, Baire topologies and G δ -topologies are also shown. Not all statements investigated here have proofs in ZF. Some statem… Show more
Set email alert for when this publication receives citations?
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.