Covering properties. (English) Zbl 0569.54022

Burke, Dennis K.

Handbook of set-theoretic topology, 347-422 (1984).

[For the entire collection see Zbl 0546.00022.]
The contents are best described by the author in his introduction: ”This chapter (of the handbook) emphasizes certain characterizations of different covering properties, relationships among them, and invariance under mappings, products, subspaces and sums.... By necessity most of the applications of covering properties could not be included here... [nor are the] countable versions of covering properties (such as countably paracompact)....”

Reviewer: D.E.Cameron

MSC:

54D20	Noncompact covering properties (paracompact, Lindelöf, etc.)
54D30	Compactness
54B05	Subspaces in general topology
54B10	Product spaces in general topology
54B15	Quotient spaces, decompositions in general topology
54D45	Local compactness, \(\sigma\)-compactness

Keywords:

paracompactness; pseudocompactness; countable compactness

Citations:

Zbl 0546.00022