15 citations · 40 across the 23 of their papers we have counts for
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math.AT2014★ 1 cited
The second homotopy group in terms of colorings of locally finite models and new results on asphericity
Jonathan Ariel Barmak, Elias Gabriel Minian
We describe the second homotopy group of any CW-complex by analyzing the universal cover of a locally finite model of using the notion of -coloring of a partially ordere…
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…
math.AT2014
A generalization of a result of Dong and Santos-Sturmfels on the Alexander dual of spheres and balls
Nicolas Ariel Capitelli, Elias Gabriel Minian
We prove a generalization of a result by Dong and Santos-Sturmfels about the homotopy type of the Alexander dual of balls and spheres. Our results involve NH-manifolds, which were…