injective, a. Math.
(ɪnˈdʒɛktɪv)
[f. inject v. (or L. inject- ppl. stem) + -ive.]
Of the nature of or pertaining to an injection (sense 5).
| 1952 Eilenberg & Steenrod Found. Algebraic Topology i. 8 A set of homomorphisms iα: Gα → G, α = 1,{ddd}, n, determine a homomorphism i:σnα = 1Gα → G... If i is an isomorphism of σGα onto G, then the set {ob}iα{cb} is called an injective representation of G as a direct sum. 1965 J. J. Rotman Theory of Groups ix. 184 (heading) The injective property. 1966 Sze-Tsen Hu Introd. Gen. Topology i. 8 A function f: X → Y is said to be one-to-one or injective iff, for every point y {elem} Y, the inverse image f-1(y) is either empty or a singleton. |