-
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...
- 30fps
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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...
- insight, IBM
Europe Hardware Announcement ZG17-0147 "NETINT
Introduces Codensity with
Support for PCIe 4.0 –
NETINT Technologies".
NETINT Technologies...
-
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...
- F{\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 {C} }...
-
functional variation of the
difference list data structure, and the
monadic Codensity transformation (a
Cayley representation of a monad,
which is a monoid...
- jpaa.2006.10.019, MR 2324597, S2CID 15424936. Di Liberti, Ivan (2020), "
Codensity:
Isbell duality, pro-objects,
compactness and accessibility", Journal...
- descente", C. R. Acad. Sci. Paris, 270 (A): 96–98 Leinster, Tom (2013), "
Codensity and the
ultrafilter monad",
Theory and
Applications of Categories, 28:...
