Nathaniel Bannister

collaborators

3 papers

math.LO2025

Nonvanishing Higher Derived Limits without $w ♢_{ω_{1}}$

Nathaniel Bannister

We prove a common refinement of theorems of Bergfalk and of Casarosa and Lambie-Hanson, showing that under certain hypotheses, the higher derived limits of a certain inverse system…

math.LO2025

All you need is $A_{κ}$

Nathaniel Bannister

We show that the vanishing of higher derived limits of the system $A_{κ}$ implies the additivity of strong homology on the class of locally compact metric spaces of weight a…

math.LO2024

Locales as spaces in outer models

Nathaniel Bannister

Let M be a transitive model of set theory and X be a space in the sense of M. Is there a reasonable way to interpret X as a space in V? A general theory due to Zapletal provides a…

Nonvanishing Higher Derived Limits without w♢ω1​​

All you need is Aκ​

Locales as spaces in outer models

Nonvanishing Higher Derived Limits without $w ♢_{ω_{1}}$

All you need is $A_{κ}$