Abstract
The purpose of this paper is to study coproducts in the category MκFrm (resp. McκFrm), of metric κ-frames and uniform (resp. contractive) κ-frame maps. First, by applying the same technic that was used to find coproducts in Frm, we construct coproducts in the category κFrm of κ-frames and κ-frame maps. Then, we define a metric diameter on the coproduct in κFrm of a family of metric κ-frames and show that coproduct in κFrm preserves metrizability.
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Mathematics Subject Classifications (2000)
06B23, 06D22, 18A30.
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Golzy (Vojdani), M., Mehdi Ebrahimi, M. Coproducts in the Category MκFrm. Appl Categor Struct 13, 171–179 (2005). https://doi.org/10.1007/s10485-005-2956-7
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DOI: https://doi.org/10.1007/s10485-005-2956-7