For fixed objects 
and 
of a locally small category 
, the hom-set 
is the set of all morphisms
from 
to 
. A category is locally small when this collection is a set
for every pair of objects.
Hom-Set
See also
Category, Category Theory, Functor, Morphism, Natural Isomorphism, Natural Transformation, Object, Strict Tensor Category, Unital Natural TransformationPortions of this entry contributed by Christopher Stover
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References
Dieck, T. T. "Quantum Groups and Knot Algebra." 2000. https://www.uni-math.gwdg.de/tammo/dm.pdf.Referenced on Wolfram|Alpha
Hom-SetCite this as:
Weisstein, Eric W., with contributions by Christopher Stover. "Hom-Set." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/Hom-Set.html