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JSON serialization for diagram of ACSets #708

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aaguinal opened this issue Nov 10, 2022 · 1 comment
Open

JSON serialization for diagram of ACSets #708

aaguinal opened this issue Nov 10, 2022 · 1 comment

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@aaguinal
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Per @jpfairbanks 's suggestion: it would be nice to be able to serialize a diagram like a span of acsets.

@aaguinal aaguinal changed the title JSON serialization for diagram of acsets JSON serialization for diagram of ACSets Nov 10, 2022
@epatters
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epatters commented Nov 14, 2022

This would be nice. Since we can already serialize acsets, the remaining features are:

  1. Serialize an acset transformation
  2. Serialize a diagram in a category (in this case, the category of acsets)
  3. Serialize a diagram morphism, enabling serialization of diagrams of diagrams (@kris-brown notes that this would be useful in certain projects)

Since an acset can itself be regarded as a diagram in Set, and acset transformations as diagram morphisms with identity map between indexing categories, it seems possible that everything could be unified through two features: serializing diagrams and their morphisms. I haven't thought through how practical that would be.

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