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Organizers |
Quasimaximal vector spaces
by
Rumen Dimitrov
Department of Mathematics, Western Illinois University, Macomb IL 61455
Coauthors: Valentina Harizanov
The cohesive sets appear to be the sets that you may encounter in a course in general topology. But the complements of some cohesive sets are computably enumerable and such complements are called maximal sets. The intersections of finitely many maximal sets are called quasimaximal. Quasimaximal sets and quasimaximal vector spaces play an important role in computability and computable model theory. We will explore some interesting combinatorial properties of the filters of the quasimaximal spaces in the lattice of computably enumerable vector spaces modulo finite dimension.
Date received: December 18, 2014
Copyright © 2014 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbjz-63.