Not signed in (Sign In)

Not signed in

Want to take part in these discussions? Sign in if you have an account, or apply for one below

  • Sign in using OpenID

Site Tag Cloud

2-category 2-category-theory abelian-categories adjoint algebra algebraic algebraic-geometry algebraic-topology analysis analytic-geometry arithmetic arithmetic-geometry book bundles calculus categorical categories category category-theory chern-weil-theory cohesion cohesive-homotopy-type-theory cohomology colimits combinatorics complex complex-geometry computable-mathematics computer-science constructive cosmology deformation-theory descent diagrams differential differential-cohomology differential-equations differential-geometry digraphs duality elliptic-cohomology enriched fibration foundation foundations functional-analysis functor gauge-theory gebra geometric-quantization geometry graph graphs gravity grothendieck group group-theory harmonic-analysis higher higher-algebra higher-category-theory higher-differential-geometry higher-geometry higher-lie-theory higher-topos-theory homological homological-algebra homotopy homotopy-theory homotopy-type-theory index-theory integration integration-theory k-theory lie-theory limits linear linear-algebra locale localization logic mathematics measure-theory modal modal-logic model model-category-theory monad monads monoidal monoidal-category-theory morphism motives motivic-cohomology nforum nlab noncommutative noncommutative-geometry number-theory of operads operator operator-algebra order-theory pages pasting philosophy physics pro-object probability probability-theory quantization quantum quantum-field quantum-field-theory quantum-mechanics quantum-physics quantum-theory question representation representation-theory riemannian-geometry scheme schemes set set-theory sheaf sheaves simplicial space spin-geometry stable-homotopy-theory stack string string-theory superalgebra supergeometry svg symplectic-geometry synthetic-differential-geometry terminology theory topology topos topos-theory tqft type type-theory universal variational-calculus

Vanilla 1.1.10 is a product of Lussumo. More Information: Documentation, Community Support.

Welcome to nForum
If you want to take part in these discussions either sign in now (if you have an account), apply for one now (if you don't).

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

Bottom of Page

1 to 3 of 3

  1.  
    • 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!

1 to 3 of 3

  1.