Artículos de revistas
Homotopy colimits of diagrams over posets and variations on a theorem of Thomason
Fecha
2016-01Registro en:
Fernández, Ximena Laura; Minian, Elias Gabriel; Homotopy colimits of diagrams over posets and variations on a theorem of Thomason; International Press Boston; Homology, Homotopy And Applications (hha); 18; 2; 1-2016; 233-245
1532-0073
CONICET Digital
CONICET
Autor
Fernández, Ximena Laura
Minian, Elias Gabriel
Resumen
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 allows us to characterize the homotopy colimits of diagrams of simplicial complexes in terms of the Grothendieck construction on the diagrams of their face posets. We also derive analogues of well known results on homotopy colimits in the combinatorial setting, including a cofinality theorem and a generalization of Quillen's Theorem A for posets.