All Parovichenko spaces may be soft-Parovichenko
Alan Dow (University of North Carolina at Charlotte)
Klaas Pieter Hart (TU Delft - Analysis)
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Abstract
It is shown that, assuming the Continuum Hypothesis, every compact Hausdorff space of weight at most c is a remainder in a soft compactification of N.
We also exhibit an example of a compact space of weight aleph_1 ---hence a remainder in some compactification of N ---for which it is consistent that is not the remainder in a softcompactification of N.