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Could someone give me an example of a topological space such that the number of connected components does not match with the number of pathwise (arcwise) connected components

Thanks

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    $\begingroup$ Topologist's Sine Curve is such an example $\endgroup$ – Clayton Apr 30 at 1:09
  • $\begingroup$ Thanks mate, now I remember that I saw it in Patty´s topology books $\endgroup$ – Mike Matt Apr 30 at 1:15
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(To make it answered)

@Clayton comment:

The topologist's Sine Curve is such an example.

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