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- W100861105 abstract "The paper gives a sufficient condition for the existence of all pushouts in an arbitrary category of partial maps (mathbb{C}_{*mathcal{M}}) that is necessary whenever the category of total maps (mathbb{C} subseteq mathbb{C}_{*mathcal{M}}) has cocones of spans; the latter is the case in all slice categories of ℂ and thus the condition is necessary locally. The main theorem is that, given an admissible class of monos (mathcal{M}) in a category ℂ that has cocones of spans, the category of partial maps (mathbb{C}_{*mathcal{M}}) has pushouts if and only if the category of total maps ℂ has hereditary pushouts and right adjoints to inverse image functors (where both properties are w.r.t. (mathcal{M})). This result clarifies previous work by Kennaway on graph rewriting in categories of partial maps that implicitly assumed existence of cocones of spans in the category of total maps." @default.
- W100861105 created "2016-06-24" @default.
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- W100861105 date "2014-01-01" @default.
- W100861105 modified "2023-09-27" @default.
- W100861105 title "On Pushouts of Partial Maps" @default.
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- W100861105 doi "https://doi.org/10.1007/978-3-319-09108-2_12" @default.
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