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Categories and Functors

2015
We define the concepts of category, functor, and morphism of functors (‘natural transformation’). The set-theoretic difficulty in treating cases like the category of all sets is handled using Grothendieck’s Axiom of Universes. Epimorphisms, monomorphisms, and similar concepts are investigated. The concept of “enriched categories” (for example, additive
openaire   +1 more source

Rooted functor categories

2022
En esta comunicación extendemos el Teorema de Green a categorías de funtores aditivos sobre una categoría pequeña, introducimos la noción de "rooted small preadditive category" y caracterizamos los funtores proyectivos e inyectivos sobre tal categoría.
openaire   +1 more source

Functor - Category Semantics of Programming Languages and Logics

Category Theory and Computer Science, 1985
R. D. Tennent
semanticscholar   +1 more source

Lipid nanoparticles for mRNA delivery

Nature Reviews Materials, 2021
Xucheng Hou   +2 more
exaly  

Category-functor Modelling of Natural Systems

Cybernetics and systems, 1999
A. Levich, A. V. Solov'Yov
semanticscholar   +1 more source

Categories of Categories and Categories of Functors

1972
The composition of functors in 2.2.6 suggests the study of categories whose objects are categories and whose morphisms are functors. 2.2.7 leads to categories whose objects are functors C→D and whose morphisms are natural transformation. However, familiar antinomies like “the set of all sets.” or “the set of all sets not containing themselves as an ...
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Capacity functor in the category of compacta

, 2008
M. Zarichnyǐ, O. Nykyforchyn
semanticscholar   +1 more source

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