On metric σ-discrete spaces

• Autorzy: Szymon Plewik , Marta Walczyńska
• Języki publikacji: EN

Abstrakty

EN

By studying dimensional types of metric scattered spaces, we consider the wider class of metric σ-discrete spaces. Applying techniques relevant to this wider class, we present new proofs of some embeddable properties of countable metric spaces in such a way that they can be generalized onto uncountable metric scattered spaces. Related topics are also explored, which gives a few new results.

Kategorie tematyczne

• 03E10: Ordinal and cardinal numbers
• 54G12: Scattered spaces
• 06A06: Partial order, general

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2016
• Tom: 108
• Numer: 1
• Strony: 239-253

Daty

wydano

2016

Twórcy

autor

Szymon Plewik

• Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland

autor

Marta Walczyńska

• Institute of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland

Identyfikatory

DOI

10.4064/bc108-0-18