On Cantor manifolds for the small transfinite dimension

• Autorzy: Mirosława Reńska
• Języki publikacji: EN

Abstrakty

EN

We show that some of the spaces \(X_\alpha\) constructed in [7] are Cantor manifolds for the small transfinite dimension trind, which is transfinite extension of the Menger-Urysohn dimension. That gives us the construction of such spaces that is simpler than constructions of metrizable Cantor manifolds for trind published hitherto. In addition, our examples are disjoint unions of Euclidean cubes and the irrationals.

Słowa kluczowe

EN

Cantor manifolds; small transfinite dimension

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2006
• Tom: 46
• Numer: 2

Daty

wydano

2006

online

2017-12-19

Twórcy

autor

Mirosława Reńska

Identyfikatory

DOI

10.14708/cm.v46i2.5214