Biequivalent

adj

adj ·Rare ·Advanced level

Definitions

Adjective
  1. 1
    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. not-comparable

    "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. 2
    Capable of replacing a bond formed by H₂ to any molecule. not-comparable

    "This is chloride of ammomium, in which 2 atoms of hydrogen are displaced by the biequivalent atom of mercury."

Example

More examples

"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."

Etymology

From bi- + equivalent.

Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.