Irresolvable countable spaces of weight less than $\frak C$
Malykhin, Viacheslav I.
Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999), p. 181-185 / Harvested from Czech Digital Mathematics Library
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We construct in Bell-Kunen's model: (a) a group maximal topology on a countable infinite Boolean group of weight $\aleph_1 < {\frak C}$ and (b) a countable irresolvable dense subspace of $2^{\omega_1}$. In this model ${\frak C}=\aleph_{\omega_1}$.

Publié le : 1999-01-01
Classification:  20K45,  22A05,  22A30,  54A25,  54A35,  54E15,  54H05 
@article{119072,
     author = {Viacheslav I. Malykhin},
     title = {Irresolvable countable spaces of weight less than $\frak C$},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {40},
     year = {1999},
     pages = {181-185},
     zbl = {1060.54500},
     mrnumber = {1715211},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119072}
}

Malykhin, Viacheslav I. Irresolvable countable spaces of weight less than $\frak C$. Commentationes Mathematicae Universitatis Carolinae, Tome 40 (1999) pp. 181-185. http://gdmltest.u-ga.fr/item/119072/

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