On superparacompact and Lindelof GO-spaces

Abstract

In this paper we study some compact/paracompact type properties, namely weak superparacompactness, superparacompactness and Lindelofness. Particular attention is given to GO-spaces. It is proved that a GO-space X is weakly superparacompact if and only if every gap is a W- gap and every pseudogap is a W-pseudogap. A characterization of Lindelof GO-spaces involving C-(pseudo)gaps is given. We also show that there is a 1-l correspondence between superparacompact (resp. LindelGf) GO-d- extensions and preuniversal ODF (resp. prelindelsf) GO-uniformities. Finally we give several examples corresponding to the above results.