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Organizers |
Maximal vector spaces
by
Valentina Harizanov
The George Washington University
Coauthors: Rumen Dimitrov
Maximal sets play an important role in computability theory, especially in the study of the lattice of algorithmically generated sets. They are co-atoms in its quotient lattice modulo finite sets. Similarly, maximal vector spaces play an important role in the study of the lattice of algorithmically generated vector spaces and its quotient lattice modulo finite dimension. We investigate principal filters determined by maximal spaces and how algebraic structure interacts with computability theoretic properties.
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-62.