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Topology

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Locally Compact Graph

TOPO-X5R0C4

$X$ and $Y$ are both locally compact spaces. $f: X\rightarrow Y$ is a map.

Which of the condition(s) below can guarantee that the graph of $f$ is locally compact?

A

$f$ is open.

B

$f$ is closed.

C

$f$ is continuous.

D

$f$ is injective.