Cone and join in the asymptotic categories

Mykhailo Romanskyi, Mykhailo Zarichnyi


We will prove that the join *+ is isomorphic to the half-space +n+1 and extend this result onto the class of γ-weakly convex and δ-weakly concave geodesic spaces. We will also show that the cone over divergent sequence is not isomorphic to the join of this sequence and  + in the asymptotic category A.

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