hom-set
التعريفات والمعاني
== English ==
=== Etymology ===
Short for "homomorphism set", because in some categories the morphisms are homomorphisms.
=== Noun ===
hom-set (plural hom-sets)
(category theory) The set or collection of all morphisms from A to B for some given ordered pair (A, B) of objects from some given category.
==== Usage notes ====
A hom-set may be denoted as
C
(
X
,
Y
)
{\displaystyle {\mathcal {C}}(X,Y)}
for objects X and Y in a category
C
{\displaystyle {\mathcal {C}}}
. It may also be denoted as
Hom
C
(
X
,
Y
)
{\displaystyle {\text{Hom}}_{\mathcal {C}}(X,Y)}
; or, letting
C
{\displaystyle {\mathcal {C}}}
be implicit, simply as
Hom
(
X
,
Y
)
{\displaystyle {\text{Hom}}(X,Y)}
.
==== Synonyms ====
morphism set
=== Anagrams ===
Thomes