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Hahn-Mazurkiewicz theorem (Theorem)

A Hausdorff space is the continuous image of the unit interval $[0,1]$ if and only if it is a Peano space.



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"Hahn-Mazurkiewicz theorem" is owned by CWoo. [ full author list (2) | owner history (2) ]
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See Also: representation theorem for compact metric spaces

Keywords:  topology
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Cross-references: Peano space, interval, unit, image, continuous, Hausdorff space

This is version 2 of Hahn-Mazurkiewicz theorem, born on 2002-08-27, modified 2006-07-21.
Object id is 3369, canonical name is HahnMazurkiewiczTheorem.
Accessed 2699 times total.

Classification:
AMS MSC: 54E99 (General topology :: Spaces with richer structures :: Miscellaneous)
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