- On distributivity in higher algebra I: The universal property of bispans
2020/10/29 by Elden Elmanto, Elmanto, Elden, Rune Haugseng +1 · 6 citations
Mathematics · #Adjoint functors #Algebra over a field #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Base (topology) #Category Theory (math.CT) #Coproduct #Covariance and contravariance of vectors #FOS: Mathematics #Functor #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Morphism #Multiplicative function #Natural transformation #Pullback #Pure mathematics #Semiring #Tensor product #math.AG #math.AT #math.CT
- Correspondence functors and lattices
2019/02/13 by Serge Bouc, Bouc, Serge, Jacques Thévenaz +1 · 1 citation
Mathematics · #Adjoint functors #Algebraic structures and combinatorial models #Category Theory (math.CT) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #Discrete mathematics #Exact functor #FOS: Mathematics #Functor #Functor category #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Lattice (music) #Mathematics #Natural transformation #Physics #Pure mathematics #Quotient #Representation Theory (math.RT) #math.CO #math.CT #math.GR #math.RT
- Spectral Mackey functors and equivariant algebraic K-theory (I)
2014/04/01 by C. Barwick, Barwick, C. · 1 voice · 12 citations
Mathematics · #Adjoint functors #Advanced Topics in Algebra #Algebra over a field #Algebraic Topology (math.AT) #Algebraic number #Algebraic structures and combinatorial models #Category Theory (math.CT) #Cohomology #Equivariant map #FOS: Mathematics #Functor #Functor category #Homotopy #Homotopy and Cohomology in Algebraic Topology #Infinity #K-Theory and Homology (math.KT) #Mathematical analysis #Mathematics #Natural transformation #Pure mathematics #Spectral sequence #math.AT #math.CT #math.KT
- Linearly distributive functors
1999/11/01 by J.R.B. Cockett, R.A.G. Seely, R. A. G. Seely · 4 citations
Computer Science · Mathematics · #Adjoint functors #Algebra over a field #Distributive property #Functor #Functor category #Homotopy and Cohomology in Algebraic Topology #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #Mathematics #Pure mathematics
- Algebraically compact functors
1992/10/01 by Michael Barr · 1 citation
Mathematics · #Adjoint functors #Advanced Topics in Algebra #Algebra over a field #Coalgebra #Discrete mathematics #Exact functor #Ext functor #Functor #Functor category #Homotopy and Cohomology in Algebraic Topology #Isomorphism (crystallography) #Mathematics #Morphism #Natural transformation #Pure mathematics #Rings, Modules, and Algebras
- Strong functors and monoidal monads
1972/12/01 by Anders Kock · 31 citations
Mathematics · #Adjoint functors #Advanced Topology and Set Theory #Algebra over a field #Algebraic Geometry and Number Theory #Functor #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Symmetric monoidal category
- Weak adjoint functors
1971/01/01 by Paul C. Kainen · 1 citation
Mathematics · #Adjoint functors #Algebraic structures and combinatorial models #Functor #Homotopy and Cohomology in Algebraic Topology #Mathematics #Pure mathematics #Rings, Modules, and Algebras