Hello, you have come here looking for the meaning of the word bijection. In DICTIOUS you will not only get to know all the dictionary meanings for the word bijection, but we will also tell you about its etymology, its characteristics and you will know how to say bijection in singular and plural. Everything you need to know about the word bijection you have here. The definition of the word bijection will help you to be more precise and correct when speaking or writing your texts. Knowing the definition ofbijection, as well as those of other words, enriches your vocabulary and provides you with more and better linguistic resources.
2002, Yves Nievergelt, Foundations of Logic and Mathematics, page 214:
The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection.
2007, C. J. Date, Logic and Databases: The Roots of Relational Theory, page 167:
Note in particular that a function is a bijection if and only if it's both an injection and a surjection.
2013, William F. Basener, Topology and Its Applications, unnumbered page:
The basic idea is that two sets A and B have the same cardinality if there is a bijection from A to B. Since the domain and range of the bijection is not relevant here, we often refer to a bijection from A to B as a bijection between the sets, or a one-to-one correspondence between the elements of the sets.
