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Dimitri Chikhladze
Dimitri Chikhladze
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I don't know your context, but maybe it will be useful to think of your structure as a semi-simplicial set http://ncatlab.org/nlab/show/semi-simplicial+set

Semi-simplicial set is a presheaf on athe semi-simplicial category, which is like the simplicial category without degeneracy maps. Every simplicial category generates a simplicial set.

Your structure forms a semi-simplicial set as it seems implicit in the question. Maybe you want the simplicial set generated by this semi-simplicial set.

I don't know your context, but maybe it will be useful to think of your structure as a semi-simplicial set http://ncatlab.org/nlab/show/semi-simplicial+set

Semi-simplicial set is a presheaf on a semi-simplicial category, which is like the simplicial category without degeneracy maps. Every simplicial category generates a simplicial set.

Your structure forms a semi-simplicial set as it seems implicit in the question. Maybe you want the simplicial set generated by this semi-simplicial set.

I don't know your context, but maybe it will be useful to think of your structure as a semi-simplicial set http://ncatlab.org/nlab/show/semi-simplicial+set

Semi-simplicial set is a presheaf on the semi-simplicial category, which is like the simplicial category without degeneracy maps. Every simplicial category generates a simplicial set.

Your structure forms a semi-simplicial set as it seems implicit in the question. Maybe you want the simplicial set generated by this semi-simplicial set.

Source Link
Dimitri Chikhladze
Dimitri Chikhladze
  • 2.3k
  • 1
  • 13
  • 16

I don't know your context, but maybe it will be useful to think of your structure as a semi-simplicial set http://ncatlab.org/nlab/show/semi-simplicial+set

Semi-simplicial set is a presheaf on a semi-simplicial category, which is like the simplicial category without degeneracy maps. Every simplicial category generates a simplicial set.

Your structure forms a semi-simplicial set as it seems implicit in the question. Maybe you want the simplicial set generated by this semi-simplicial set.