Weakly smooth continua

Lum, Lewis

doi:10.1090/S0002-9947-1975-0385820-4

Weakly smooth continua
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by Lewis Lum

Trans. Amer. Math. Soc. 214 (1975), 153-167

DOI: https://doi.org/10.1090/S0002-9947-1975-0385820-4

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Abstract:

We define and investigate a class of continua called weakly smooth. Smooth dendroids, weakly smooth dendroids, generalized trees, and smooth continua are all examples of weakly smooth continua. We generalize characterizations of the above mentioned examples to weakly smooth continua. In particular, we characterize them as compact Hausdorff spaces which admit a quasi order satisfying certain properties.

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