A class of compact subsets for non-sober topological spaces

2009/12/30 by Paul Poncet, Poncet, Paul
Economics, Econometrics and Finance · Engineering · Mathematics · #54C25 #54D10 #54D30 #54D40 #54D80 #Advanced Topology and Set Theory #Economic theories and models #FOS: Mathematics #General Topology (math.GN) #Water resources management and optimization #math.GN #msc:54C25 #msc:54D10 #msc:54D30 #msc:54D40 #msc:54D80

paper · pdf · doi:10.48550/arxiv.0912.5469

6 pages

openalex publication_date 2009/12/30 · arxiv created 2011/06/18 · arxiv updated 2011/06/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a class of subsets of a topological space that coincides with the class of compact saturated subsets when the space is sober, and with enough good properties when the space is not sober. This class is introduced especially in view of applications to capacity theory.

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