A generalization of the Hahn-Mazurkiewicz theorem

Ward, L. E.

doi:10.1090/S0002-9939-1976-0413063-0

A generalization of the Hahn-Mazurkiewicz theorem
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by L. E. Ward

Proc. Amer. Math. Soc. 58 (1976), 369-374

DOI: https://doi.org/10.1090/S0002-9939-1976-0413063-0

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Abstract:

It is proved that if a Hausdorff continuum $X$ can be approximated by finite trees (see the text for definition) then there exists a (generalized) arc $L$ and a continuous surjection $\varphi :L \to X$.

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