Comparing the closed almost disjointness and dominating numbers

• Autorzy: Dilip Raghavan , Saharon Shelah
• Języki publikacji: EN

Abstrakty

EN

We prove that if there is a dominating family of size ℵ₁, then there are ℵ₁ many compact subsets of $ω^{ω}$ whose union is a maximal almost disjoint family of functions that is also maximal with respect to infinite partial functions.

Kategorie tematyczne

• 03E17: Cardinal characteristics of the continuum
• 03E05: Other combinatorial set theory
• 03E65: Other hypotheses and axioms
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2012
• Tom: 217
• Numer: 1
• Strony: 73-81

Daty

wydano

2012

Twórcy

autor

Dilip Raghavan

• Graduate School of System Informatics, Kobe University, Kobe 657-8501, Japan

autor

Saharon Shelah

• Institute of Mathematics, The Hebrew University, Jerusalem, Israel
• Department of Mathematics, Rutgers University, Piscataway, NJ 08854, U.S.A.

Identyfikatory

DOI

10.4064/fm217-1-6