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n-Forum: Go (the game) as a category?

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    • CommentRowNumber1.
    • CommentAuthorpyzg
    • CommentTimeOct 23rd 2021
    • (edited Oct 23rd 2021)
    I am curious if someone know of a way of modeling/interpreting the game Go as a category. I can't seem to find anything when doing an online search but that probably has something to do with the name of the game being such a common word. (Go is such a favorite math game that someone must have done this, right?)

    I can see that it is possible to call objects of such a category all the board positions possible and morphisms being a kind of "subset" relationship between the different board positions. For example, if a specific board position, a, can be arrived after a specific board position, b, then define a morphism b -> a. (This way we can satisfy the associative property required for a category and we just get a semi-lattice.) However I am really curious if there is another way of looking at the game categorically.

    (New to the forum here, hello everyone! I hope this is the right place to talk about such things. I am If not then sorry for the "spam"!)
    • CommentRowNumber2.
    • CommentAuthorDavid_Corfield
    • CommentTimeOct 23rd 2021

    Possible F. Honsell et al.’s ’Categories of Coalgebraic Games’ has something relevant. It discusses game operations used by Conway to analyse games such as Nim and Go.

    • CommentRowNumber3.
    • CommentAuthorpyzg
    • CommentTimeOct 23rd 2021
    Thanks!

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