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Decomposition of completions of reloids ★★
Author(s): Porton
Conjecture For composable reloids and it holds
- \item if is a co-complete reloid; \item if is a complete reloid; \item ; \item ; \item .
Keywords: co-completion; completion; reloid
A construction of direct product in the category of continuous maps between endo-funcoids ★★★
Author(s): Porton
Consider the category of (proximally) continuous maps (entirely defined monovalued functions) between endo-funcoids.
Remind from my book that morphisms of this category are defined by the formula (here and below by abuse of notation I equate functions with corresponding principal funcoids).
Let are endofuncoids,
We define
(here and are cartesian projections).
Conjecture The above defines categorical direct product (in the above mentioned category, with products of morphisms the same as in Set).
Keywords: categorical product; direct product