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graph (Definition)

The graph of a function $ f:X\rightarrow Y$ is the subset of $ X\times Y$ given by $ \{(x,f(x)) : x\in X\}$.



"graph" is owned by Koro.
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See Also: closed graph theorem

Other names:  function graph
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Cross-references: subset, function
There are 8 references to this entry.

This is version 9 of graph, born on 2002-12-09, modified 2005-03-07.
Object id is 3701, canonical name is Graph2.
Accessed 10496 times total.

Classification:
AMS MSC: 03E20 (Mathematical logic and foundations :: Set theory :: Other classical set theory )
Pending Errata and Addenda
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Ambiguity with Graph Theory by Cartan on 2005-06-08 08:03:29
I suggest that the noun graph should be defined as set of vertices and edges as in graph theory and that this entry should include function in the title. Maybe this should be called 'graph of a function'.
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