1 citations · 1 across the 8 of their papers we have counts for
8 papers
Merging with other nonvanishing constructions
Nathaniel Bannister, Justin Tatch Moore
We develop methods for forcing , where is a particular inverse system of abelian groups introduced by Mardešić and Prasolov in their computati…
Condensed Sets and the Solovay Model
Nathaniel Bannister, Dianthe Basak
We exhibit a geometric morphism from the Grothendieck topos representing the Solovay model to the -pyknotic sets of Barwick--Haine and Clausen--Scholze. We then use the properti…
Nonvanishing Higher Derived Limits without
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…
All you need is
Nathaniel Bannister
We show that the vanishing of higher derived limits of the system implies the additivity of strong homology on the class of locally compact metric spaces of weight a…
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…
Additivity of derived limits in the Cohen model
Nathaniel Bannister
We show that, in the model constructed by adding sufficiently many Cohen reals, derived limits are additive on a large class of systems. This generalizes the work of Jeffrey Bergfa…
A descriptive approach to higher derived limits
Nathaniel Bannister, Jeffrey Bergfalk, Justin Tatch Moore +1
We present a new aspect of the study of higher derived limits. More precisely, we introduce a complexity measure for the elements of higher derived limits over the directed set …
On the additivity of strong homology for locally compact separable metric spaces
Nathaniel Bannister, Jeffrey Bergfalk, Justin Tatch Moore
We show that it is consistent relative to a weakly compact cardinal that strong homology is additive and compactly supported within the class of locally compact separable metric sp…