Timeline for Simplicial set are to cubical sets what simplicial complexes are to ...?
Current License: CC BY-SA 4.0
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Dec 13, 2018 at 2:29 | comment | added | Richard Stanley | One could define a (finite) abstract cubical complex to be a finite meet-semilattice, say with minimum element 0, such that every interval [0,x] isomorphic to the face lattice of a cube. | |
Nov 12, 2018 at 15:21 | comment | added | User371 | I know Dimitri, oriented is a word appearing in the original question. This type of order is naturally present when thinking of a simplicial complexes as special type of simplicial set. | |
Nov 10, 2018 at 4:02 | comment | added | Dmitri Pavlov | Your answer describes locally ordered simplicial complexes, not simplicial complexes. In an abstract simplicial complex there is no natural ordering on vertices of a simplex. | |
Nov 10, 2018 at 1:23 | history | answered | User371 | CC BY-SA 4.0 |