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Dyadic intervals: algebraic, number theoretic and geometric aspects
by
Anna Romanowska
Warsaw University of Technology, Faculty of Mathematics and Information Sciences, Warsaw, Poland
Coauthors: Katarzyna Matczak
Dyadic intervals are described algebraically as commutative binary modes (commutative idempotent entropic (or medial) groupoids). Proper closed dyadic intervals are finitely generated. The minimal number of generators of such an interval is n precisely if the interval is isomorphic to an interval with ends 0 and k, where the binary representation of k contains n-1 ones. Geometrically, such intervals are homomorphic images of dyadic simplices.
Date received: April 23, 2004
Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Mathematical Conference Abstracts. Document # canq-12.