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FIELD
Math:Topology
DATE
Dec 05 (Tue), 2023
TIME
11:00 ~ 12:30
PLACE
1423
SPEAKER
De la Nuez Gonzalez, Javier
HOST
Kim, Sang-hyun
INSTITUTE
허준이수학난제연구소
TITLE
Minimality of the compact-open topology on diffeomorphism and homeomorphism groups
ABSTRACT
In-person & Zoom: https://visgat.kimsh.kr We will talk about recent work in which we prove that the restriction of the compact-open topology to the diffeomorphism group of a manifold without boundary of dimension different from 3 is a minimal element of the lattice of Hausdorff group topologies on the group. If the dimension is also different from 4 it follows that the same holds for the compact-open topology on the homeomophism group, which combined with K. Mann's automatic continuity results implies the latter admits a unique separable Hausdorff group
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