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REPRESENTABLE FUNCTORS, SERRE FUNCTORS, AND MUTATIONS
Mathematics of the USSR-Izvestiya, 1990This paper studies the categorical version of the concept of mutations of an exceptional set, as used in the theory of vector bundles. The basic object of study is a triangulated category with a family of subcategories satisfying the so-called admissibility condition. A natural notion arising here is that of a Serre functor, effecting a certain duality
Alexey Bondal, M. Kapranov
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1972
If T: ∂AG→∂AG is a functor from complexes to complexes then X↦TSX provides a generalization of the singular complex SX which may yield new useful topological invariants. We study this question (§§ 2–7), at least if T is the (dimension-wise) prolongation of an additive functor t: AG→AG.
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If T: ∂AG→∂AG is a functor from complexes to complexes then X↦TSX provides a generalization of the singular complex SX which may yield new useful topological invariants. We study this question (§§ 2–7), at least if T is the (dimension-wise) prolongation of an additive functor t: AG→AG.
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A multiplicative normal functor is a power functor
Mathematical Notes of the Academy of Sciences of the USSR, 1987openaire +2 more sources
Categories of Functors and Adjoint Functors
American Journal of Mathematics, 1966openaire +2 more sources
Derived functors of the projective limit functor
Soviet Mathematical Journal, 1967openaire +2 more sources