Resumen

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.
Título traducido de la contribuciónOn the problem of condensation onto compacta
Idioma originalRussian
Páginas (desde-hasta)130-132
Número de páginas3
PublicaciónДоклады Академии наук
Volumen488
N.º2
DOI
EstadoPublished - 2019

GRNTI

  • 27.19.00

Level of Research Output

  • VAK List

Huella

Profundice en los temas de investigación de 'К ВОПРОСУ ОБ УПЛОТНЕНИИ НА КОМПАКТЫ'. En conjunto forman una huella única.

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