A Cartesian Closed Extension of the Category of Locales

Heckmann, Reinhold

doi:10.4230/DagSemProc.04351.3

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A Cartesian Closed Extension of the Category of Locales

Author Reinhold Heckmann

Part of: Volume: Dagstuhl Seminar Proceedings, Volume 4351
Part of: Series: Dagstuhl Seminar Proceedings (DagSemProc)
License: Creative Commons Attribution 4.0 International license
Publication Date: 2005-04-22

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Document Identifiers

DOI: 10.4230/DagSemProc.04351.3
URN: urn:nbn:de:0030-drops-1339

Author Details

Reinhold Heckmann

Cite As Get BibTex

Reinhold Heckmann. A Cartesian Closed Extension of the Category of Locales. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-20, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005) https://doi.org/10.4230/DagSemProc.04351.3

Abstract

We present a Cartesian closed category ELOC of equilocales,
which contains the category LOC of locales as a reflective full subcategory.
The embedding of LOC into ELOC preserves products and all exponentials of exponentiable locales.

Subject Classification

Keywords

Locale
Cartesian closed category

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