| 释义 |
bijection, n. Math.|baɪˈdʒɛkʃ(ə)n|
[f. bi-2 after injection n. 5.]
A mapping that is both injective and surjective.
1963D. G. Bourgin Mod. Algebraic Topol. x. 215 If Ψ is both a monomorphism and an epimorphism, it is a bijection (so that a bijection is a sort of underprivileged bimorphism). 1968E. T. Copson Metric Spaces vii. 86 A mapping f: E1→E2 which is both an injection and a surjection is called a bijection. 1975I. Stewart Concepts Mod. Math. ix. 128 Quite generally, two sets will have the same number of elements if and only if there is a bijection between them. 1982W. S. Hatcher Logical Found. Math. viii. 249 The theory of cardinals is the study of properties of sets that are invariant under bijections.
So biˈjective a., of the nature of or pertaining to a bijection.
1962J. T. Moore Elem. Abstr. Algebra i. 8 A bijective mapping determines and is determined by a one-to-one correspondence between the elements of the two sets. 1982W. S. Hatcher Logical Found. Math. iii. 82 It was Cantor (and also Dedekind) who defined the notion of cardinal similarity (i.e. sameness of number) of two sets as being the existence of a bijective (1-1 onto) correspondence between the two sets. |