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Mikhail Tkachenko edited results.tex
over 8 years ago
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работы [8], можно доказать
Предложение~5. [$МA\, \&\, \aleph_1<2^\omega$] Пусть
$\{Х_\alpha: \alpha\in А\}$
—- -- каноническая цепь в бикомпакте $Х$ и
$t(Х_\alpha)\cdot d(Х_\alpha)\leq\omega$ для всех $\alpha\in А$. Тогда
$\pi w(Х)\leq\aleph_1$.
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Math. Сеntrе Тrасts, 34. Amsterdam, 1971.
[2] Наjnаl А., Juh\'аsz I. Оп hereditarily $\alpha$-sеpаrаblе and $\alpha$-Liпdel\"of spaces.
Annales Univ. Sci. Budapest, 11,
19б8, 1968, 115—124.
[3] Кunеn К. Ultrafilters and independent sets. Tгans. Аmеr. Math. Sос.,
172, 1972; 299-306.
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