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Monocoreflections of Completely Regular Frames

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Abstract

Functorial nearness structures and coreflections mesh tightly together. After presenting a new construction closely related to the completion of a nearness frame, this article shows a bijection exists between monocoreflections and strong, locally fine, completion stable, functorial nearness structures. This bijection gives a simple description of the monocoreflective subcategory generated by any class of frames.

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Authors and Affiliations

  1. Department of Mathematics, University of Denver, 2360 South Gaylord Street, Denver, CO, 80208, USA

    Eric Richard Zenk

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  1. Eric Richard Zenk
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Correspondence to Eric Richard Zenk.

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To Bernhard Banaschewski on the occasion of his eightieth birthday.

The first draft of this paper paper was written while the author was employeed at Vanderbilt University; he thanks his collegues there.

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Zenk, E.R. Monocoreflections of Completely Regular Frames. Appl Categor Struct 15, 209–222 (2007). https://doi.org/10.1007/s10485-007-9065-8

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