Timeline for Condensed mathematics and independence results
Current License: CC BY-SA 4.0
2 events
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Sep 27, 2021 at 18:40 | comment | added | Z. M | The condensed extension group "knows" much more than the classical extension group when the abelian groups in question are infinite, therefore the vanishing of the condensed extension group is much stronger than the vanishing of the classical extension group. A toy analogue is the following: let $k$ be a field and $V$ a $k$-vector space. I am not sure whether one could recover $V$ from its dual $\operatorname{Hom}(V,k)$. However, if we endow the dual with the compact open topology, then the continuous double dual recovers $V$. | |
Sep 27, 2021 at 17:04 | history | asked | Mohammad Golshani | CC BY-SA 4.0 |