A family of acyclic functors

Details A family of acyclic functors A family of acyclic functors

2007-06-14

arxiv.org/abs/0706.2113v2

Mathematics

Algebraic Topology

23 pages

Scientific paper

We determine a family of functors from a poset to abelian groups such that the higher direct limits vanish on them. This is done by first characterizing the projective functors. Then a spectral sequence arising from the grading of the poset is used. Also the dual version for injective functors and higher inverse limits is included. Graded posets include simplicial complexes, subdivision categories and simplex-like posets.

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