Tychonoff compactifications and R-completions of mappings and rings of continuous functions

Hans-Peter A. Künzi and Boris A. Pasynkov
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Hans-Peter A. Künzi: University of Berne, Department of Mathematics
Boris A. Pasynkov: Moscow State University, Mechanics and Mathematics Faculty

A chapter in Categorical Topology, 1996, pp 175-201 from Springer

Abstract: Abstract All perfect extensions (with Tychonoff domains) of a continuous mapping f : X — Y between two Tychonoff spaces X and Y (in the category Top Y ) are described by means of presheaves of subrings of the rings C*(f -l U) where U is open in Y. In fact, a general description of all Tychonoff compactifications of a Tychonoff mapping f : X — Y is obtained. Our methods yield even a characterization of all Tychonoff compactifications of Tychonoff continuous images of f in the category Top Y .

Keywords: Constant Function; Open Neighborhood; Continuous Extension; Factor Space; Main Lemma (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-0263-3_17

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DOI: 10.1007/978-94-009-0263-3_17

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