- 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...
-
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...
- insight, IBM
Europe Hardware Announcement ZG17-0147 "NETINT
Introduces Codensity with
Support for PCIe 4.0 –
NETINT Technologies".
NETINT Technologies...
-
Pentonic series NETINT Quadra T1 (1x
Codensity G5 ASIC) 4x 4K60 10-bit
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- 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...
-
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...
- 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...
- {\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...
- 204 (12): 1756–1781. doi:10.1016/j.ic.2006.09.001. Avery, Tom (2016). "
Codensity and the Giry monad".
Journal of Pure and
Applied Algebra. 220 (3): 1229–1251...
- descente", C. R. Acad. Sci. Paris, 270 (A): 96–98 Leinster, Tom (2013), "
Codensity and the
ultrafilter monad",
Theory and
Applications of Categories, 28:...
