摘要

The paper proves (assuming the continuum hypothesis CH) that there exists a perfectly normal compact topological space Z and a countable set E ⊂ Z, such that Z\E is not condensed onto a compact. The existence of such a space answers (in CH) negatively to the question of V.I. Ponomareva: Is every perfectly normal compact an α-space? It is proved that in the class of ordered compacts the property of being an α-space is not multiplicative.
投稿的翻译标题On the problem of condensation onto compacta
源语言Russian
页(从-至)130-132
页数3
期刊Доклады Академии наук
488
2
DOI
Published - 2019

GRNTI

  • 27.19.00

Level of Research Output

  • VAK List

指纹

探究 'К ВОПРОСУ ОБ УПЛОТНЕНИИ НА КОМПАКТЫ' 的科研主题。它们共同构成独一无二的指纹。

引用此