A Homogeneous Continuum Without the Property of Kelley
We generalize the property of Kelley for continua to the non-metric case. Basic properties that are true in metric case are shown to be true in general. An example is constructed showing that, unlike for metric continua, the homogeneity does not imply the property of Kelley.
W. J. Charatonik, "A Homogeneous Continuum Without the Property of Kelley," Topology and its Applications, Elsevier, Oct 1999.
The definitive version is available at https://doi.org/10.1016/S0166-8641(98)00055-8
Mathematics and Statistics
Keywords and Phrases
continuum; effros property; homogeneous; property of Kelley
Article - Journal
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