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adjunction
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Adjoint functors - Wikipedia
In mathematics, specifically category theory, adjunction is a relationship that two functors may exhibit, intuitively corresponding to a weak form of ...
en.wikipedia.org
en.wikipedia.org
adjunction in nLab
A pair of 1-morphisms in a 2-category form an adjunction if they are dual to each other (Lambek (1982), cf. here) in a precise sense.
ncatlab.org
ncatlab.org
ADJUNCTION Definition & Meaning - Merriam-Webster
The meaning of ADJUNCTION is the act or process of adjoining.
www.merriam-webster.com
www.merriam-webster.com
adjunction
adjunction (əˈdʒʌŋkʃən) [ad. L. adjunctiōn-em, n. of action, f. adjunct- ppl. stem of adjung-ĕre: see adjunct. Cf. Fr. adjonction (14th c. in Littré.)] 1. The joining on or adding of a thing or person (to another).1618 Raleigh Rem. (1644) 270 That supposition, that your Majesties Subjects give nothi...
Oxford English Dictionary
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What is an Adjunction? Part 1 (Motivation) - Math3ma
An adjunction is a pair of functors that interact in a particularly nice way. There's more to it, of course, so I'd like to share some motivation first.
www.math3ma.com
www.math3ma.com
What is an Adjunction? Part 3 (Examples) - Math3ma
An adjunction, you'll recall, consists of a pair of functors F⊣G F ⊣ G between categories C C and D D together with a bijection of sets, as ...
www.math3ma.com
www.math3ma.com
Adjunction formula
Inversion of adjunction
The adjunction formula is false when the conormal exact sequence is not a short exact sequence. Hence which agrees with the adjunction formula.
wikipedia.org
en.wikipedia.org
adjunction - Wiktionary, the free dictionary
Noun · The act of joining; the thing joined or added. · (law) The joining of personal property owned by one to that owned by another. · (mathematics, chiefly ...
en.wiktionary.org
en.wiktionary.org
A bestiary about adjunctions - Mathematics Stack Exchange
The inclusion of sheaves to presheaves has adjoint sheafification. Constant sheaves, stalks, etc. fit together in altogether 3 adjoint pairs.
math.stackexchange.com
math.stackexchange.com
What are some beautiful examples of adjunctions?
Here are some very basic examples, but which you don't find so often mentioned. 1. For real numbers r and integers z we have ι(z)≤r⇔z≤⌊r⌋.
math.stackexchange.com
math.stackexchange.com
What is an intuitive view of adjoints? (version 1: category theory)
An adjoint functor is a way of giving the most efficient solution to some optimization problem via a method which is formulaic.
mathoverflow.net
mathoverflow.net
Adjunctions | Bartosz Milewski's Programming Cafe
Adjunction is even weaker than equivalence, because it doesn't require that the composition of the two functors be isomorphic to the identity functor.
bartoszmilewski.com
bartoszmilewski.com
Using "adjunction" to refer to the act of taking adjoints of operators I have an especially flabby terminology question. > How acceptable is it, in your opinion, to use the word "adjunction" to refer to the process ...
Sure why not, right? Who's it going to hurt?
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Adjunction space
Adjunction spaces are also used to define connected sums of manifolds. Discusses the homotopy type of adjunction spaces, and uses adjunction spaces as an introduction to (finite) cell complexes.
J.H.C.
wikipedia.org
en.wikipedia.org