41. A relation that is reflexive, symmetric, and transitive is called an equivalence relation . 42. A recent area of research concerns Borel equivalence relations and more complicated definable equivalence relations. 43. A recent area of research concerns Borel equivalence relations and more complicated definable equivalence relations . 44. This is an equivalence relation on characters. 45. Scissors-congruence is an equivalence relation . 46. Taking the quotient by this equivalence relation yields the structure sheaf of an ordinary scheme. 47. This provides a strong backing to the theory that Equivalence relations can form without language. 48. The equivalence relation is given by stabilization with respect to hyperbolic ?-quadratic forms: 49. These are all equivalence relations on the class of structures with the given relation symbols. 50. The relation of being homotopic is an equivalence relation on paths in a topological space.
