Abstract.
This article discusses the basic categorical algebra for categories of partial frames. Categories of partial frames are labelled by subset selectors that indicate which joins exist. Constructions for limits, colimits, and free functors connecting various categories of partial frames are given.
Examples of partial frame categories are given. Subset selectors which preserve surjections are virtually the same as rules which select all subsets smaller than a given cardinal.
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Received December 1, 2004; accepted in final form March 28, 2005.
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Zenk, E.R. Categories of partial frames. Algebra univers. 54, 213–235 (2005). https://doi.org/10.1007/s00012-005-1939-8
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DOI: https://doi.org/10.1007/s00012-005-1939-8