All Parovichenko spaces are soft-Parovichenko
Hart, Klaas Pieter
arXiv, 1811.03912 / Harvested from arXiv
Text on arXiv
It is shown that, assuming the Continuum Hypothesis, compact Hausdorff space of weight at most $\mathfrak{c}$ is a remainder in a soft compactification of $\mathbb{N}$. We also exhibit an example of a compact space of weight~$\aleph_1$ --- hence a remainder in some compactification of $\mathbb{N}$ --- for which it is consistent that is not the remainder in a soft compactification of $\mathbb{N}$.
Publié le : 2018-11-09
Classification:  Mathematics - General Topology,  54D40 (Primary), 03E35, 03E50, 54A35, 54D80 (Secondary) 
@article{1811.03912,
     author = {Hart, Klaas Pieter},
     title = {All Parovichenko spaces are soft-Parovichenko},
     journal = {arXiv},
     volume = {2018},
     number = {0},
     year = {2018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1811.03912}
}

Hart, Klaas Pieter. All Parovichenko spaces are soft-Parovichenko. arXiv, Tome 2018 (2018) no. 0, . http://gdmltest.u-ga.fr/item/1811.03912/