Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777850 | Topology and its Applications | 2017 | 14 Pages |
Abstract
We prove that it is consistent with ZFC that no sequential topological groups of intermediate sequential orders exist. This shows that the answer to a 1981 question of P. Nyikos is independent of the standard axioms of set theory. The model constructed also provides consistent answers to several questions of D. Shakhmatov, S. TodorÄeviÄ and Uzcátegui. In particular, we show that it is consistent with ZFC that every countably compact sequential group is Fréchet-Urysohn.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Alexander Shibakov,