Authors: | Guevara Parra, Francisco Todorčević, Stevo |
Title: | Types of countable sequential groups | Journal: | Topology and its Applications | Volume: | 283 | First page: | 107337 | Issue Date: | 1-Sep-2020 | Rank: | M23 | ISSN: | 0166-8641 | DOI: | 10.1016/j.topol.2020.107337 | Abstract: | We show that 1, N and NN are all Tukey types of countable sequential groups reducible to NN. In particular, we show that a countable sequential group X is of Tukey type NN exactly when it a nonmetrizable kℵ0-space. |
Keywords: | k-Spaces | k -Spaces ℵ 0 | Tukey reductions | Publisher: | Elsevier |
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