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Topology

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Moderate

Five Rays Through Origin

TOPO-EK1W45

Let $X\subset\mathbb R^3$ be the union of five rays emanating from the origin.

What is the rank of the fundamental group of $\mathbb R^3-X$?

A

$3$

B

$4$

C

$5$

D

$6$

E

$7$