Hausdorff gaps and towers in 𝓟(ω)/Fin

• Autorzy: Piotr Borodulin-Nadzieja , David Chodounský
• Języki publikacji: EN

Abstrakty

EN

We define and study two classes of uncountable ⊆*-chains: Hausdorff towers and Suslin towers. We discuss their existence in various models of set theory. Some of the results and methods are used to provide examples of indestructible gaps not equivalent to a Hausdorff gap. We also indicate possible ways of developing a structure theory for towers based on classification of their Tukey types.

Kategorie tematyczne

• 03E05: Other combinatorial set theory
• 03E35: Consistency and independence results

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2015
• Tom: 229
• Numer: 3
• Strony: 197-229

Daty

wydano

2015

Twórcy

autor

Piotr Borodulin-Nadzieja

• Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

autor

David Chodounský

• Institute of Mathematics AS CR, Žitná 25, 115 67 Praha 1, Czech Republic
• Department of Mathematics, York University, 4700 Keele Street, Toronto, Ontario M3J 1P3, Canada

Identyfikatory

DOI

10.4064/fm229-3-1