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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 11th 2017
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexOver at the Cafe, Mike Stay is [talking](https://golem.ph.utexas.edu/category/2017/06/gphenriched_lawvere_theories_f.html#more) about work he's done in operational semantics using categories enriched in the topos of reflexive directed graphs. Since the later is cohesive over $Set$, that got me wondering if there's anything interesting to say about enrichment in such situations. So in this case there will be induced mappings between $Gph$-enriched categories and ordinary categories, leading to three modalities operating on $Gph$-enriched categories. Interesting?

   Over at the Cafe, Mike Stay is talking about work he’s done in operational semantics using categories enriched in the topos of reflexive directed graphs. Since the later is cohesive over $Set$, that got me wondering if there’s anything interesting to say about enrichment in such situations.

   So in this case there will be induced mappings between $Gph$-enriched categories and ordinary categories, leading to three modalities operating on $Gph$-enriched categories. Interesting?