slice category

noun

A category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain.

Similar
overcategory
Opposite
coslice category
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Meanings

nounslice category (plural slice categories)

plural slice categories

  1. category theoryA category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain.

    Synonyms: overcategory

Synonyms & antonyms

nounA category whose objects are morphisms (of some given category) with a common codomain, and whose morphisms are commuting triangles where two morphisms of each of such triangles share the said common codomain.

Similar
overcategory
Opposite
coslice category
Cite this entry
APA

slice category. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/slice%20category

MLA

“slice category.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/slice%20category. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “slice category,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/slice%20category.

Source: slice category on Wiktionary, CC BY-SA 4.0.