On covering properties of subspaces of R.H. Bing's example G

I. W. Lewis

Research output: Contribution to journalArticlepeer-review

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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.

Original languageEnglish
Pages (from-to)109-122
Number of pages14
JournalGeneral Topology and its Applications
Issue number1
StatePublished - Mar 1977


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