$P_{λ}$-sets and skeletal mappings

• Autorzy: Aleksander Błaszczyk , Anna Brzeska
• Języki publikacji: EN

Abstrakty

EN

We prove that if the topology on the set Seq of all finite sequences of natural numbers is determined by $P_λ$-filters and λ ≤ 𝔟, then Seq is a $P_λ$-set in its Čech-Stone compactification. This improves some results of Simon and of Juhász and Szymański. As a corollary we obtain a generalization of a result of Burke concerning skeletal maps and we partially answer a question of his.

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54C05: Continuous maps
• 54G05: Extremally disconnected spaces, F -spaces, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 131
• Numer: 1
• Strony: 89-98

Daty

wydano

2013

Twórcy

autor

Aleksander Błaszczyk

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

autor

Anna Brzeska

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

Identyfikatory

DOI

10.4064/cm131-1-8