A non-metrizable space whose countable power is $\sigma$-metrizable
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- by Gary Gruenhage PDF
- Proc. Amer. Math. Soc. 125 (1997), 1881-1883 Request permission
Abstract:
We answer a question of A.V. Arhangel’skii by finding a non-metrizable space $X$ such that $X^{\omega }$ is the countable union of metrizable spaces.References
- Z. Balogh, G. Gruenhage, and V.V. Tkachuk, Additivity of metrizability and related properties, Topology and Appl., to appear.
- M.G. Tkacenko, Ob odnom svoistve bicompactov (On a property of compact spaces), Seminar po obshchei topologii (A seminar on general topology), Moscow State Univ. P.H., Moscow, 1981, pp. 149-156.
- V. V. Tkachuk, Finite and countable additivity of topological properties in nice spaces, Trans. Amer. Math. Soc. 341 (1994), no. 2, 585–601. MR 1129438, DOI 10.1090/S0002-9947-1994-1129438-6
Additional Information
- Gary Gruenhage
- Affiliation: Department of Mathematics, Auburn University, Alabama 36849
- Email: garyg@mail.auburn.edu
- Received by editor(s): March 6, 1996
- Communicated by: Franklin D. Tall
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1881-1883
- MSC (1991): Primary 54E35, 54B10, 54B05
- DOI: https://doi.org/10.1090/S0002-9939-97-04058-6
- MathSciNet review: 1415587