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.
BibTeX - Entry
@InProceedings{heckmann:DagSemProc.04351.3,
author = {Heckmann, Reinhold},
title = {{A Cartesian Closed Extension of the Category of Locales}},
booktitle = {Spatial Representation: Discrete vs. Continuous Computational Models},
pages = {1--20},
series = {Dagstuhl Seminar Proceedings (DagSemProc)},
ISSN = {1862-4405},
year = {2005},
volume = {4351},
editor = {Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2005/133},
URN = {urn:nbn:de:0030-drops-1339},
doi = {10.4230/DagSemProc.04351.3},
annote = {Keywords: Locale , Cartesian closed category}
}
Keywords: |
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Locale , Cartesian closed category |
Collection: |
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04351 - Spatial Representation: Discrete vs. Continuous Computational Models |
Issue Date: |
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2005 |
Date of publication: |
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22.04.2005 |