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bi- +‎ equivalent


biequivalent (not comparable)

  1. (mathematics, of two entities A and B) Both left equivalent and right equivalent; Having the property that there exists a pair of mappings M1 (A->B) and M2 (B->A) such that M1M2(A) is equivalent to applying the unity operator to A and M2 M1(B) is equivalent to applying the unity operator to B.
    • 2016, Michael Shulman, “Contravariance through enrichment”, in arXiv[1]:
      We define strict and weak duality involutions on 2-categories, and prove a coherence theorem that every bicategory with a weak duality involution is biequivalent to a 2-category with a strict duality involution.
  2. (chemistry) Capable of replacing a bond formed by H2 to any molecule.
    • 1876, John Forbes Royle & ‎John Harley, Royle's Manual of Materia Medica and Therapeutics:
      This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the biequivalent atom of mercury.