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Peano space (Definition)

A Peano space is a compact, connected, locally connected metric space.

Every Peano space is arcwise connected.

A Hausdorff space is the continuous image of the unit interval if and only if it is a Peano space.



"Peano space" is owned by Mathprof.
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Cross-references: interval, unit, image, continuous, Hausdorff space, arcwise connected, metric space, locally connected, connected, compact
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This is version 3 of Peano space, born on 2006-06-10, modified 2006-09-17.
Object id is 8001, canonical name is PeanoSpace.
Accessed 1192 times total.

Classification:
AMS MSC54E45 (General topology :: Spaces with richer structures :: Compact metric spaces)

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