Category:Definitions/Identity Mappings
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This category contains definitions related to Identity Mappings.
Related results can be found in Category:Identity Mappings.
The identity mapping of a set $S$ is the self-map $I_S: S \to S$ defined as:
- $I_S = \set {\tuple {x, y} \in S \times S: x = y}$
or alternatively:
- $I_S = \set {\tuple {x, x}: x \in S}$
That is:
- $I_S: S \to S: \forall x \in S: \map {I_S} x = x$
Pages in category "Definitions/Identity Mappings"
The following 2 pages are in this category, out of 2 total.