Changes

Jump to navigation Jump to search
No change in size ,  05:18, February 4, 2008
no edit summary
Line 1: Line 1: −
A '''Bijection''' is a one to one, onto mapping between two sets.  In other words, a bijection between sets A and B is a mapping such that every element in the A is mapped to a distinct element in B, and every element in the B has a distinct element in the A mapped to it.  For example, one bijection between the sets {A, B, C} and {1, 2, 3}, maps: A to 1, B to 2, and 3 to C.
+
A '''bijection''' is a one to one, onto mapping between two sets.  In other words, a bijection between sets A and B is a mapping such that every element in the A is mapped to a distinct element in B, and every element in the B has a distinct element in the A mapped to it.  For example, one bijection between the sets {A, B, C} and {1, 2, 3}, maps: A to 1, B to 2, and 3 to C.
    
If there is a bijection between two sets, then we say that they have the same [[cardinality]], or size.
 
If there is a bijection between two sets, then we say that they have the same [[cardinality]], or size.
1,193

edits

Navigation menu