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1. • CommentRowNumber1.
   • CommentAuthorDavid_Corfield
   • CommentTimeJun 2nd 2017
   • (edited Jun 2nd 2017)
   • PermaLink
   Author: David_Corfield
   Format: MarkdownItexHas anyone looked at $\infty$-versions of the graph toposes that Lawvere treats, such as [[hypergraphs]], $Set^{\bullet\leftarrow\bullet\rightarrow\bullet}$, and directed graphs, $Set^{\bullet\rightrightarrows\bullet}$, in, e.g., * Categories of spaces may not be generalized spaces, as exemplified by directed graphs * Qualitative Distinctions between some Toposes of Generalized Graphs ? We don't seem to have much at all on the ordinary topos aspects of categories of graphs at [[graph]].

   Has anyone looked at $\infty$-versions of the graph toposes that Lawvere treats, such as hypergraphs, $Set^{\bullet\leftarrow\bullet\rightarrow\bullet}$, and directed graphs, $Set^{\bullet\rightrightarrows\bullet}$, in, e.g.,

   • Categories of spaces may not be generalized spaces, as exemplified by directed graphs
   • Qualitative Distinctions between some Toposes of Generalized Graphs ?

   We don’t seem to have much at all on the ordinary topos aspects of categories of graphs at graph.

2. • CommentRowNumber2.
   • CommentAuthorspitters
   • CommentTimeJun 2nd 2017
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   Author: spitters
   Format: MarkdownItexEgbert Rijke and I are trying to finish a paper where we consider the models of both graphs and reflexive graphs in within HoTT. Egbert has been [blogging](https://egbertrijke.com/2016/10/06/formalizing-the-graph-model-of-type-theory-part-1/) about it already.

   Egbert Rijke and I are trying to finish a paper where we consider the models of both graphs and reflexive graphs in within HoTT. Egbert has been blogging about it already.