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math.AT2018
The cylinder of a relation and generalized versions of the Nerve Theorem
Ximena Fernández, Elias Gabriel Minian
We introduce the notion of cylinder of a relation in the context of posets, extending the construction of the mapping cylinder. We establish a local-to-global result for relations,…
math.AT2014
Homotopy colimits of diagrams over posets and variations on a theorem of Thomason
Ximena Fernandez, Elias Gabriel Minian
We use a classical result of McCord and reduction methods of finite spaces to prove a generalization of Thomason's theorem on homotopy colimits over posets. In particular this allo…