127
edits
Changes
Jump to navigation
Jump to search
mLine 4:
Line 4: + +
no edit summary
Bijections between [[infinite]] sets are particularly interesting, as they produce some counterintuitive results. For instance, there is a bijection between the integers and the even integers that maps every integer x to the even integer 2x. Notice that this satisfies the definition of bijection, which then implies that the integers and the even integers have the same size.
Bijections between [[infinite]] sets are particularly interesting, as they produce some counterintuitive results. For instance, there is a bijection between the integers and the even integers that maps every integer x to the even integer 2x. Notice that this satisfies the definition of bijection, which then implies that the integers and the even integers have the same size.
The existence of a bijection from one set to the other also implies that a converse bijection exists.
[[Category:Set Theory]]
[[Category:Set Theory]]