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Locally Moving Clones

Date
Oct 23, 2015
Time
1:15 PM - 2:15 PM
Speaker
Dr. Robert Barham
Affiliation
TU Dresden, Institut für Algebra
Language
en
Main Topic
Mathematik
Other Topics
Mathematik
Host
Jun.-Prof. Dr. Martin Schneider
Description
A locally moving group is a group that acts on a complete atomless Boolean algebra in a special way. These were introduced by M. Rubin to study reconstruction from automorphism groups. A locally moving clone is a clone where: 1. the group of invertible elements is a locally moving group; and 2. there are enough `algebraically canonical' elements. After defining these things fully, I will prove that every locally moving polymorphism clone has automatic homeomorphicity with respect to all polymorphism clones, and that if (Q,L) is a reduct of the rationals such that: 1. Aut(Q,L) is not the symmetric group; and 2. End(Q,L)=Emb(Q,L), then Pol(Q,L) is locally moving.
Links

Last modified: Oct 6, 2015, 12:40:17 PM

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Location

TUD Willers-Bau (WIL C 115)Zellescher Weg12-1401069Dresden
Homepage
https://navigator.tu-dresden.de/etplan/wil/00

Organizer

TUD MathematikWillersbau, Zellescher Weg12-1401069Dresden
Phone
49-351-463 33376
Homepage
http://tu-dresden.de/mathematik
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