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Joins for (Augmented) Simplicial Sets

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arxiv math/9904039 v1 pith:BTLJI6NN submitted 1999-04-09 math.CT math.AT

classification math.CTmath.AT
keywords simplicialaugmentedjoinsetsbasecategoryclassicalcomes
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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 $\Delta$.

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