There are absolute ultrafilters on N which are not minimal

A. Kucia; A. Szymański

Displaying similar documents to “There are absolute ultrafilters on N which are not minimal”

Factorials of infinite cardinals

John Dawson, Paul Howard (1976)

Fundamenta Mathematicae

Similarity:

Minimal realcompact spaces

Asit Baran-Raha (1972)

Colloquium Mathematicae

Similarity:

Minimality of non-σ-scattered orders

Tetsuya Ishiu, Justin Tatch Moore (2009)

Fundamenta Mathematicae

Similarity:

We will characterize-under appropriate axiomatic assumptions-when a linear order is minimal with respect to not being a countable union of scattered suborders. We show that, assuming PFA⁺, the only linear orders which are minimal with respect to not being σ-scattered are either Countryman types or real types. We also outline a plausible approach to demonstrating the relative consistency of: There are no minimal non-σ-scattered linear orders. In the process of establishing these results,...

The interdependence of certain consequences of the axiom of choice

A. Lévy (1964)

Fundamenta Mathematicae

Similarity:

On saturating ultrafilters on N

A. Kucia (1977)

Colloquium Mathematicae

Similarity:

Enlargements without urelements

Jürg Schmid, Jürgen Schmidt (1987)

Colloquium Mathematicae

Similarity:

Minimal predictors in hat problems

Christopher S. Hardin, Alan D. Taylor (2010)

Fundamenta Mathematicae

Similarity:

We consider a combinatorial problem related to guessing the values of a function at various points based on its values at certain other points, often presented by way of a hat-problem metaphor: there are a number of players who will have colored hats placed on their heads, and they wish to guess the colors of their own hats. A visibility relation specifies who can see which hats. This paper focuses on the existence of minimal predictors: strategies guaranteeing at least one player guesses...