Joins for (Augmented) Simplicial Sets

math.CT

/ Authors

/ Abstract

We introduce a notion of join for (augmented) simplicial sets generalising the classical join of geometric simplicial complexes. The definition comes naturally from the ordinal sum on the base simplicial category $Δ$.

Joins for (Augmented) Simplicial Sets

math.CT

/ Authors

P. J. Ehlers, T. Porter

/ Abstract

We introduce a notion of join for (augmented) simplicial sets generalising the classical join of geometric simplicial complexes. The definition comes naturally from the ordinal sum on the base simplicial category $Δ$.