IN POSETS GRADUATES HOMOLOGICAL ALGEBRA (HOMOLOGICAL ALEGBRA ON GRADED POSETS)Author:
DÍAZ RAMOS ANTONIO.
Year: 2005.
University:
MÁLAGA.
Place of defense: FACULTAD DE CIENCIAS.
Place of preparation: FACULTAD DE CIENCIAS - UNIVERSIDAD DE MÁLAGA.
Summary: This work has its roots in the Algebraic Topology, and more specifically a problem related groups finite p-locales introduced by Broto, Levi and Oliver. It gives a characterization of the objects projectivos and injectivos in the category of funtores a poset graduated groups abelianos. Likewise, conditions are weaker implying that the upper limits of a funtor in this category are annulled. Finally, there are applications for equivalence homotópica between colímite homotópico a diagram spaces Elienberg-MacLane and space limit direct genetic classifier key groups such spaces. The test was also part of cohomología of conjecture on the complex Webb Brown.