The covering numbers of Mycielski ideals are all equal
Saharon Shelah, Juris Steprāns
Abstract
The Mycielski ideal Mk is defined to consist of all sets A subseteq komega such that f restriction X: f in A not= kX for all X in [omega]aleph0. It will be shown that the covering numbers for these ideals are all equal. However, the covering numbers of the closely associated Roslanowski ideals will be shown to be consistently different.
Create a lesson
Related papers
Logarithmic--exponential preparation in sharply o-minimal structures
Gal Binyamini, Oded Carmon, Dmitry Novikov
Stoic Logic and Natural Term Logic
Clarence Lewis Protin
From raw Solvability Complexity Index proofs to Weihrauch degrees
Christopher Sorg
Existence of bases implies the axiom of choice, a foundation-free proof
Gabriel Fernandes, Renan Maneli Mezabarba, Vinicius de Oliveira Rodrigues
Every countable meet-continuous lattice is Scott sober
Xiaoquan Xu, Wei Ji
A minimal type of Morley rank ω in a partial differential field
Piotr Kowalski