Results 11 to 20 of about 100,519 (222)

"ADJOINT PREENVELOPES AND ADJOINT PRECOVERS IN THE FUNCTOR CATEGORY"

open access: yesMathematical Reports, 2022
"Adjoint preenvelopes and adjoint precovers are defined in the category of functors by replacing the functor Hom with ⊗. We investigate the existence and basic properties of adjoint preenvelopes and adjoint precovers.
Shoutao Guo, Xiaoyan Yang
semanticscholar   +2 more sources

Continuity is an Adjoint Functor [PDF]

open access: bronzeThe American Mathematical Monthly, 2015
To appear in the American Mathematical ...
Edward S. Letzter
  +6 more sources

Higher weak (co)limits, adjoint functor theorems, and higher Brown representability [PDF]

open access: yesDocumenta Mathematica, 2021
. We prove general adjoint functor theorems for weakly (co)complete n -categories. This class of n -categories includes the homotopy n -categories of (co)complete ∞ -categories, so these n -categories do not admit all small (co)limits in general. We also
Hoang Kim Nguyen   +2 more
semanticscholar   +1 more source

A finitary adjoint functor theorem [PDF]

open access: bronzeTheory and Applications of Categories
Graduated locally finitely presentable categories are introduced, examples include categories of sets, vector spaces, posets, presheaves and Boolean algebras. A finitary functor between graduated locally finitely presentable categories is proved to be a right adjoint if and only if it preserves countable limits.
Jiřı́ Adámek, Lurdes Sousa
openalex   +4 more sources

Duality for powerset coalgebras [PDF]

open access: yesLogical Methods in Computer Science, 2022
Let CABA be the category of complete and atomic boolean algebras and complete boolean homomorphisms, and let CSL be the category of complete meet-semilattices and complete meet-homomorphisms. We show that the forgetful functor from CABA to CSL has a left
Guram Bezhanishvili   +2 more
doaj   +1 more source

Adjoint functors and triples [PDF]

open access: bronzeIllinois Journal of Mathematics, 1965
Samuel Eilenberg, John C. Moore
openalex   +4 more sources

On Adjoint and Brain Functors [PDF]

open access: greenAxiomathes, 2015
There is some consensus among orthodox category theorists that the concept of adjoint functors is the most important concept contributed to mathematics by category theory. We give a heterodox treatment of adjoints using heteromorphisms (object-to-object morphisms between objects of different categories) that parses an adjunction into two separate parts
David Ellerman
openalex   +3 more sources

On an adjoint functor to the Thom functor [PDF]

open access: yesProceedings of the American Mathematical Society, 2001
We construct a right adjoint functor to the Thom functor, i.e., to the functor which assigns the Thom space T ξ T\xi to a vector bundle ξ \xi .
Yuli B. Rudyak
semanticscholar   +3 more sources

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