Metrizability of sequential topological groups with point-countable $k$-networks
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- by Alexander Shibakov PDF
- Proc. Amer. Math. Soc. 126 (1998), 943-947 Request permission
Abstract:
We prove that a Hausdorff sequential topological group with a point-countable $k$-network is metrizable iff its sequential order is less than $\omega _{1}$. In the non Hausdorff case metrizability may be replaced by $\sigma$-locally finite base.References
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Additional Information
- Alexander Shibakov
- Affiliation: Department of Mathematics, Auburn University, Auburn University, Alabama 36849
- MR Author ID: 355084
- Email: shobaay@mallard.duc.auburn.edu
- Received by editor(s): May 10, 1995
- Received by editor(s) in revised form: September 15, 1996
- Communicated by: Franklin D. Tall
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 943-947
- MSC (1991): Primary 54H11; Secondary 54D55, 54A20, 54E35
- DOI: https://doi.org/10.1090/S0002-9939-98-04139-2
- MathSciNet review: 1443165