Ideals which generalize (v 0)

• Autorzy: Piotr Kalemba , Szymon Plewik
• Języki publikacji: EN

Abstrakty

EN

Countable products of finite discrete spaces with more than one point and ideals generated by Marczewski-Burstin bases (assigned to trimmed trees) are examined, using machinery of base tree in the sense of B. Balcar and P. Simon. Applying Kulpa-Szymanski Theorem, we prove that the covering number equals to the additivity or the additivity plus for each of the ideals considered.

Słowa kluczowe

EN

Base tree; Fusion relation; Trimmed tree; add (d 0(V)); cov (d 0(V))

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 06A06: Partial order, general
• 03E35: Consistency and independence results

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 6
• Strony: 1016-1025

Daty

wydano

2010-12-01

online

2010-10-30

Twórcy

autor

Piotr Kalemba

• University of Silesia

autor

Szymon Plewik

• University of Silesia

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-010-0074-8