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A sequential group topology on rationals with intermediate sequential order
by
Alexander Shibakov
Auburn University
One of the most useful ordinal invariants for sequential spaces is sequential order. Many questions about the behavior of this invariant arise naturally. Among them is the question about the nontriviality of sequential order on several classes of sequential spaces. In 1981 P. Nyikos asked if sequential order could take on nontrivial values on the class of topological groups. We propose under CH a construction of a topological group which answers this question affirmatively.
Date received: January 31, 1996
Copyright © 1996 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 Conferences Inc. Document # caaa-40.