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math.GN2013
Regular spaces of small extent are omega-resolvable
Istvan Juhasz, Lajos Soukup, Zoltan Szentmiklossy
We improve some results of Pavlov and of Filatova, respectively, concerning a problem of Malychin by showing that every regular space X that satisfies Delta(X)>ext(X) is omega-reso…
math.GN2013
Strong colorings yield kappa-bounded spaces with discretely untouchable points
Istvan Juhasz, Saharon Shelah
It is well-known that every non-isolated point in a compact Hausdorff space is the accumulation point of a discrete subset. Answering a question raised by Z. Szentmiklossy and the…