Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9517006 | Topology and its Applications | 2005 | 16 Pages |
Abstract
We study sequential convergence in spaces with analytic topologies avoiding thus a number of standard pathologies. For example, we identify bisequentiality of an analytic space as the Fréchet property of its square. We show that a countable Fréchet group is metrizable if and only if its topology is analytic. We also investigate the diagonal sequence properties and show their productiveness in the class of analytic spaces.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
S. TodorÄeviÄ, C. Uzcátegui,