Jason (jcreed) wrote,

Here you go, chrisamaphone, here's some original researchy no-idea-what-I'm-doing material:

I backed off from trying to count n-simplices with all their faces and hyperfaces oriented in a composition-consistent way, and instead tried to count the number of distinct n-simplices with just the 2-cells oriented.

Because the category Δ category theorists use to define simplicial sets is just the category of ordered sets, i.e. the category of simplices with all the 1-cells oriented. I'm just trying to move up a dimension! But already it seems really hard to count the number of possible 2-orientations.
Tags: categories, combinatorics, math, video

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