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Adjoint functors and tree duality [PDF]

Discrete Mathematics & Theoretical Computer Science, 2009
Graphs and ...
Jan Foniok, Claude Tardif
doaj   +6 more sources

Adjoint Functors and Triangulated Categories [PDF]

, 2008
We give a construction of triangulated categories as quotients of exact categories where the subclass of objects sent to zero is defined by a triple of functors. This includes the cases of homotopy and stable module categories. These categories naturally
Matthew Grime
core   +6 more sources

The right adjoint to the equivariant operadic forgetful functor on incomplete Tambara functors [PDF]

arXiv, 2017
For $N_\infty$ operads $\mathcal O$ and $\mathcal O'$ such that there is an inclusion of the associated indexing systems, there is a forgetful functor from incomplete Tambara functors over $\mathcal O'$ to incomplete Tambara functors over $\mathcal O$. Roughly speaking, this functor forgets the norms in $\mathcal O'$ that are not present in $\mathcal O$
Andrew J. Blumberg, Michael A. Hill
arxiv   +4 more sources

Adjoint functors [PDF]

, 1958
1. Introduction. In homology theory an important role is played by pairs of functors consisting of (i) a functor Horn in two variables, contravariant in the first variable and co-variant in the second (for instance the functor which assigns to every two ...
Daniel M. Kan
semanticscholar   +3 more sources

Free Applicative Functors [PDF]

Electronic Proceedings in Theoretical Computer Science, 2014
Applicative functors are a generalisation of monads. Both allow the expression of effectful computations into an otherwise pure language, like Haskell.
Paolo Capriotti, Ambrus Kaposi
doaj   +4 more sources

Co-Frobenius corings and adjoint functors [PDF]

, 2008
We study co-Frobenius and more generally Quasi-co-Frobenius corings over arbitrary baserings and over PF baserings in particular. We generalize some results about (Quasi-) co-Frobenius coalgebras to the case of non-commutative base rings and give several
Miodrag C. Iovanov, Joost Vercruysse
openalex   +4 more sources

Adjoint functors on the derived category of motives [PDF]

Journal of the Institute of Mathematics of Jussieu, 2015
Voevodsky's derived category of motives is the main arena today for the study of algebraic cycles and motivic cohomology. In this paper we study whether the inclusions of three important subcategories of motives have a left or right adjoint. These adjoint functors are useful constructions when they exist, describing the best approximation to an ...
B. Totaro
arxiv   +3 more sources

Hedetniemi’s Conjecture and Adjoint Functors in Thin Categories [PDF]

Applied Categorical Structures, 2017
We survey results on Hedetniemi’s conjecture which are connected to adjoint functors in the “thin” category of graphs, and expose the obstacles to extending these results.
Jan Foniok, Claude Tardif
openalex   +3 more sources

Hedetniemi's conjecture and adjoint functors in thin categories [PDF]

arXiv, 2016
We survey results on Hedetniemi's conjecture which are connected to adjoint functors in the "thin" category of graphs, and expose the obstacles to extending these results.
Jan Foniok, Claude Tardif
openalex   +3 more sources

Where do Adjunctions Come From? Chimera Morphisms and Adjoint Functors in Category Theory [PDF]

Foundations
Category theory has foundational importance because it provides conceptual lenses to characterize what is important and universal in mathematics—with adjunction seeming to be the primary lens. Our topic is a theory showing “where adjoints come from”. The
David Ellerman
openalex   +3 more sources