Geodesic
Every Filter is Homeomorphic to Its Square
Andrea Medini1 ; Lyubomyr Zdomskyy1
1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Währinger Straße 25 A-1090 Wien, Austria
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.
DOI : 10.4064/ba8065-6-2016
Keywords: every filter mathcal omega viewed subspace omega homeomorphic mathcal generalizes theorem van engelen who proved holds borel filters

Andrea Medini 1 ; Lyubomyr Zdomskyy 1

1 Kurt Gödel Research Center for Mathematical Logic University of Vienna Währinger Straße 25 A-1090 Wien, Austria 
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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. http://geodesic.mathdoc.fr/articles/10.4064/ba8065-6-2016/

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