well-pointed

adjective

Said of a category or topos: that it has a terminal object (or that it has no zero object, if it is a topos) and in which any distinct pair of parallel morphisms can be distinguished by their distinct compositions with a global element of their domain; i.e. any pair of parallel morphisms is distinct if and only if there is a global element in their domain that does not equalize them.

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Meanings

adjectivewell-pointed (not comparable)
  1. not comparablecategory theorySaid of a category or topos: that it has a terminal object (or that it has no zero object, if it is a topos) and in which any distinct pair of parallel morphisms can be distinguished by their distinct compositions with a global element of their domain; i.e. any pair of parallel morphisms is distinct if and only if there is a global element in their domain that does not equalize them.
Cite this entry
APA

well-pointed. (n.d.). In WatkinsX Dictionary. Retrieved November 2, 2026, from https://dictionary.watkinsx.com/word/well-pointed

MLA

“well-pointed.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/well-pointed. Accessed November 2, 2026.

Chicago

WatkinsX Dictionary, s.v. “well-pointed,” accessed November 2, 2026, https://dictionary.watkinsx.com/word/well-pointed.

Source: well-pointed on Wiktionary, CC BY-SA 4.0.