Results 11 to 20 of about 100,519 (222)
"ADJOINT PREENVELOPES AND ADJOINT PRECOVERS IN THE FUNCTOR CATEGORY"
"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]
To appear in the American Mathematical ...
Edward S. Letzter
+6 more sources
The adjoint functor theorem and the Yoneda embedding [PDF]
Friedrich Ulmer
openalex +2 more sources
Higher weak (co)limits, adjoint functor theorems, and higher Brown representability [PDF]
. 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]
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]
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
Partial Tambara structure on the Burnside biset functor, induced from a derivator-like system of adjoint triplets [PDF]
Hiroyuki Nakaoka
openalex +3 more sources
Adjoint functors and triples [PDF]
Samuel Eilenberg, John C. Moore
openalex +4 more sources
On Adjoint and Brain Functors [PDF]
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]
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

