# All open subsets of Peano continuum are locally arcwise connected

## Theorem

All open subsets of a Peano continuum are locally arcwise connected. Hence all Peano continua are locally arcwise connected.

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All open subsets of a Peano continuum are locally arcwise connected. Hence all Peano continua are locally arcwise connected.

- This page was last edited on 23 September 2016, at 17:26.