# '22

36th Summer Topology Conference

July 18-22, 2022

University of Vienna, Department of Mathematics
Oskar-Morgenstern-Platz 1, 1090 Vienna, AUSTRIA

### "On the additivity of strong homology for locally compact second countable spaces"

#### Moore, Justin

Recently Bergfalk and Lambie-Hanson showed that in the weakly compact Hechler model, the higher derived limits ${\lim}^n \mathbf{A}$ vanish for all $n$, where $\mathbf{A}$ is a certain inverse system of abelian groups indexed by $\omega^\omega$. We generalize this result and use it to show that in the weakly compact Hechler model, strong homology is additive for the class of locally compact second countable spaces.

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