Definition:Empty Mapping

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Let $T$ be a set.

Then the mapping $e: \O \to T$ whose domain is the empty set and whose codomain is $T$ is called the empty mapping:

$e \subseteq \O \times T = \O$

Also known as

  • The empty function
  • The null mapping
  • The null function.

Also see

  • Results about the empty mapping can be found here.