Homogeneity and the disjoint arcs property

Krupski, Paweł

doi:10.1090/S0002-9939-99-04682-1

Homogeneity and the disjoint arcs property
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by Paweł Krupski

Proc. Amer. Math. Soc. 127 (1999), 1873-1876

DOI: https://doi.org/10.1090/S0002-9939-99-04682-1

Published electronically: February 17, 1999

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Abstract:

Some previous results of the author towards a classification of homogeneous metric continua are improved. The disjoint arcs property is fully revealed in this context. In particular, closed $n$-manifolds, $n=1,2$, are characterized as those homogeneous continua which do not have the disjoint arcs property.

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