Duality on the (co)chain type levels

Details Duality on the (co)chain type levels Duality on the (co)chain type levels

2011-08-19

arxiv.org/abs/1108.3890v2

Mathematics

Algebraic Topology

16 pages. Minor corrections

Scientific paper

We establish equalities between cochain and chain type levels of maps by
making use of exact functors which connect certain derived and coderived
categories. This shows that the two types of levels are related by a sort of
Eckmann-Hilton duality. We also discuss a variant of Koszul duality for a
differential graded algebra.

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