Mathematics – Algebraic Topology
Scientific paper
2011-08-19
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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