contravariant.
Which reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X).
Meaning & usage
Which reverses the order of morphism composition: formally, which associates each morphism f:X→Y to a morphism F(f):F(Y)→F(X).
Using or relating to contravariance.
Scaling inversely with a change of basis.
Where this word comes from
Etymology tree Proto-Indo-European *ḱe? Proto-Indo-European *ḱóm Proto-Italic *kom Proto-Italic *kom- Proto-Indo-European *-teros Proto-Italic *-teros Proto-Italic *komterosder. Proto-Italic *komterād Latin contrābor. English contra- English variant English contravariant From contra- + variant.
A bihomogeneous polynomial in dual variables of x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.
Where this word comes from
Etymology tree Proto-Indo-European *ḱe? Proto-Indo-European *ḱóm Proto-Italic *kom Proto-Italic *kom- Proto-Indo-European *-teros Proto-Italic *-teros Proto-Italic *komterosder. Proto-Italic *komterād Latin contrābor. English contra- English variant English contravariant From contra- + variant.
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Definitions, grammatical labels, IPA, etymology and examples: Wiktionary contributors, extracted by Kaikki / Wiktextract. Adapted under CC BY-SA 4.0. Selected fields and authored examples are shown; third-party quotations and audio are omitted. See contributor history.
Last enriched 2026-09-10. Definitions are in English. Romanizations are shown when supplied by the source; syllable estimates are omitted for unsupported scripts.