# Riemann Surface is Path-Connected

## Theorem

A Riemann surface is path-connected.

## Proof

By definition, a Riemann surface is a complex manifold.

Hence it is connected and locally path-connected.

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A Riemann surface is path-connected.

By definition, a Riemann surface is a complex manifold.

Hence it is connected and locally path-connected.

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- This page was last modified on 28 January 2018, at 18:29 and is 684 bytes
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