-
category theory, the
codensity monad is a
fundamental construction ****ociating a
monad to a wide
class of functors. The
codensity monad of a
functor G...
- not
admitting a left
adjoint also give rise to a monad, the so-called
codensity monad. For example, the
inclusion F i n S e t ⊂ S e t {\displaystyle \mathbf...
- the
codensity monad of the
inclusion of the
category of
finite sets into the
category of all sets. Similarly, the
ultraproduct monad is the
codensity monad...
-
original on 27 June 2024.
Retrieved 25
April 2025. "NETINT
Introduces Codensity with
Support for PCIe 4.0 –
NETINT Technologies".
NETINT Technologies...
-
Pentonic series NETINT Quadra T1 (1x
Codensity G5 ASIC)
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Codensity G5 ASICs)
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- {\displaystyle F}
exists and is
preserved by F {\displaystyle F} . The
codensity monad of a
functor G : D → C {\displaystyle G:\mathbf {D} \to \mathbf...
-
ultrafilter given by x . {\displaystyle x.} This
ultrafilter monad is the
codensity monad of the
inclusion of the
category of
finite sets into the category...
- descente", C. R. Acad. Sci. Paris, 270 (A): 96–98 Leinster, Tom (2013), "
Codensity and the
ultrafilter monad",
Theory and
Applications of Categories, 28:...
- example, an op-fibration is not the same
thing as a cofibration.
codensity monad Codensity monad.
coend The
coend of a
functor F : C op × C → X {\displaystyle...
-
functional variation of the
difference list data structure, and the
monadic Codensity transformation (a
Cayley representation of a monad,
which is a monoid...
