Epireflective subcategories of Hausdorff categories

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Abstract

Let pHaus denote the category of Hausdorff spaces and p-maps, and let HCL denote the subcategory of pHaus consisting of H-closed spaces and continuous functions. It is well-known that HCL is an epireflective subcategory of pHaus. In this paper we characterize the epireflective subcategories of pHaus that contain HCL.

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This research was supported by Grant No. 7592 from the Natural Sciences and Engineering Research Council of Canada.