Abstract

Let F be the space in Bing's example G. It is shown that any subspace of F which is para-Lindelöf, screenable, or collectionwise Hausdorff is also hereditarily hypocompact. Other theorems on the relations between covering properties in subspaces of F are also presented. Mesocompactness, meso-Lindelöfness, metacompactness, meta-Lindelöfness, subparacompactness, θ-refinability, δθ-refinability, and preparacompactness are investigated in several subspaces of F. The subspaces presented by Michael, Hodel and Burke are described as well as several additional subspaces which have not been previously investigated.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call