Every Filter is Homeomorphic to Its Square
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 63-67
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
We show that every filter $\mathcal {F}$ on $\omega $, viewed as a subspace of $2^\omega $, is homeomorphic to $\mathcal {F}^2$. This generalizes a theorem of van Engelen, who proved that this holds for Borel filters.
Keywords:
every filter mathcal omega viewed subspace omega homeomorphic mathcal generalizes theorem van engelen who proved holds borel filters
Affiliations des auteurs :
Andrea Medini 1 ; Lyubomyr Zdomskyy 1
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author = {Andrea Medini and Lyubomyr Zdomskyy},
title = {Every {Filter} is {Homeomorphic} to {Its} {Square}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {63--67},
publisher = {mathdoc},
volume = {64},
number = {1},
year = {2016},
doi = {10.4064/ba8065-6-2016},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba8065-6-2016/}
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Andrea Medini; Lyubomyr Zdomskyy. Every Filter is Homeomorphic to Its Square. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 64 (2016) no. 1, pp. 63-67. doi: 10.4064/ba8065-6-2016
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