-
definition is a
formal definition of a
comonad (or cotriple); this can be said
quickly in the
terms that a
comonad for a
category C {\displaystyle C} is...
- one can also
define a
comonad. Conceptually, if
monads represent com****tions
built up from
underlying values, then
comonads can be seen as reductions...
- base for more
complex abstractions like
Applicative Functor, Monad, and
Comonad, all of
which build atop a
canonical functor structure.
Functors are useful...
-
Godement resolutions. It has also been
credited as the
place in
which a
comonad can
first be discerned. He also
wrote texts on Lie groups,
abstract algebra...
-
Galois connection Pontryagin duality Affine scheme Monad (category theory)
Comonad Combinatorial species Exact functor Derived functor Dominant functor Enriched...
-
given to the
proof of the
existence for what
would be the
counit for the
comonad of the sought-for adjunction,
namely a
natural transformation R f ! f ...
-
Jonathan Mock Beck (2003) in
about 1964. It is
often stated in dual form for
comonads. It is
sometimes called the Beck
tripleability theorem because of the older...
- ISBN 9780444500557. "Steve Awodey.
Category Theory.
Chapter 10. Monads. 10.4
Comonads and Coalgebras" (PDF). Look,
Brandon C. (2020), Zalta,
Edward N. (ed.)...
- the
light of
later work (c. 1970), 'descent' is part of the
theory of
comonads; here we can see one way in
which the
Grothendieck school bifurcates in...
- :T^{2}\to T\,} is
given by μ = GεF. Dually, the
triple 〈FG, ε, FηG〉
defines a
comonad in C.
Every monad arises from some adjunction—in fact,
typically from many...
