Irresolvable countable spaces of weight less than $ℭ$

Malykhin, Viacheslav I.. "Irresolvable countable spaces of weight less than $\mathfrak {C}$." Commentationes Mathematicae Universitatis Carolinae 40.1 (1999): 181-185. <http://eudml.org/doc/248397>.

@article{Malykhin1999,
abstract = {We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight $\aleph _1 < \{\mathfrak \{C\}\}$ and (b) a countable irresolvable dense subspace of $2^\{\omega _1\}$. In this model $\{\mathfrak \{C\}\}=\aleph _\{\omega _1\}$.},
author = {Malykhin, Viacheslav I.},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {resolvability; irresolvability; Martin’s Axiom; a space of weight less than $\mathfrak \{C\}$; irresolvable space},
language = {eng},
number = {1},
pages = {181-185},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Irresolvable countable spaces of weight less than $\mathfrak \{C\}$},
url = {http://eudml.org/doc/248397},
volume = {40},
year = {1999},
}

TY - JOUR
AU - Malykhin, Viacheslav I.
TI - Irresolvable countable spaces of weight less than $\mathfrak {C}$
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1999
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 40
IS - 1
SP - 181
EP - 185
AB - We construct in Bell-Kunen’s model: (a) a group maximal topology on a countable infinite Boolean group of weight $\aleph _1 < {\mathfrak {C}}$ and (b) a countable irresolvable dense subspace of $2^{\omega _1}$. In this model ${\mathfrak {C}}=\aleph _{\omega _1}$.
LA - eng
KW - resolvability; irresolvability; Martin’s Axiom; a space of weight less than $\mathfrak {C}$; irresolvable space
UR - http://eudml.org/doc/248397
ER -