Locally Moving Clones

Datum

23.10.2015

Zeit

13:15 - 14:15

Sprecher

Dr. Robert Barham

Zugehörigkeit

TU Dresden, Institut für Algebra

Sprache

en

Hauptthema

Mathematik

Andere Themen

Mathematik

Host

Jun.-Prof. Dr. Martin Schneider

Beschreibung

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

• Institut für Algebra: International Seminar

Letztmalig verändert: 06.10.2015, 12:40:17