Meanings
nounhom-set (plural hom-sets)
plural hom-sets
- category theoryThe set or collection of all morphisms from A to B for some given ordered pair (A, B) of objects from some given category.
Synonyms: morphism set
Synonyms & antonyms
nounThe set or collection of all morphisms from A to B for some given ordered pair (A, B) of objects from some given category.
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Also see
Origin
Short for "homomorphism set", because in some categories the morphisms are homomorphisms.
Full word history & related roots →Cite this entry
APA
hom-set. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/hom-set
MLA
“hom-set.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/hom-set. Accessed November 3, 2026.
Chicago
WatkinsX Dictionary, s.v. “hom-set,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/hom-set.
Source: hom-set on Wiktionary, CC BY-SA 4.0.