Authors: | Todorčević, Stevo Uzcátegui, Carlos |
Title: | Analytic k-spaces | Journal: | Topology and its Applications | Volume: | 146-147 | First page: | 511 | Last page: | 526 | Issue Date: | 1-Jan-2005 | Rank: | M23 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2003.09.013 | 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: | Analytic topology | Fréchet group | Sequential space | Publisher: | Elsevier |
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