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Past events in this series


Thu, 12 Mar 2026
17:00
L3

Every join-semilattice with smallest element is isomorphic to the semilattice of compact open sets of some space

Marcus Tressl
(Manchester University)
Abstract
The assertion belongs to the representation theory of partially ordered sets, to Non-Hausdorff topology and to domain theory, but is (co-)motivated by model theoretic questions about the analysis of structures that can be seen as global sections of a sheaf (like a ring or like a generalized product in the Feferman-Vaught theorem). I will first explain my interest in the statement of the title and then construct the asserted space in a functorial way.