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Zbl 0953.54002
Dolecki, Szymon; Mynard, Frédéric
Convergence-theoretic mechanisms behind product theorems. (English)
[J] Topology Appl. 104, No.1-3, 67-99 (2000). ISSN 0166-8641

From the abstract: Commutation of the topologizer with products, quotientness of product maps, preservation of some properties by products, topologicity of continuous convergence, continuity of complete lattices are facets of the same quest. A new method of multifilters is used to establish sufficient and necessary conditions for these properties in the framework of general convergence. Several classical results (of Whitehead, Michael, Boehme, Cohen, Day and Kelly, Hofmann and Lawson, Schwarz and Weck, Kent and Richardson, and others) are extended or refined.
[Miroslav Hušek (Praha)]

MSC 2000:: *54A05 Topological spaces and generalizations
54B10 Product spaces (general topology)
54C10 Special maps on topological spaces
54B30 Categorical methods in general topology
54B15 Quotient spaces, etc. (general topology)

Keywords: Cartesian product; quotient; multifilter

Cited in: Zbl 1068.54010

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