• Source: Permutation category

In mathematics, the permutation category is a category where

the objects are the natural numbers,
the morphisms from a natural number n to itself are the elements of the symmetric group




S

n




{\displaystyle S_{n}}

and
there are no morphisms from m to n if



m
≠
n


{\displaystyle m\neq n}

.
It is equivalent as a category to the category of finite sets and bijections between them.




References



Trimble, Todd H. "Notes on the Lie operad" (PDF). University of Chicago. Retrieved 2022-09-27.

Kata Kunci Pencarian:

• Statistika
• Efek pengacau
• Komposisi fungsi
• Eksperimen semu
• Ilmu aktuaria
• Statistika matematika
• Model generatif
• Variabel acak
• Permutation category
• Permutation
• PROP (category theory)
• Permutation test
• Substitution–permutation network
• S-object
• Pseudorandom permutation
• Permutation pattern
• Tannakian formalism
• CFOP method