Small inductive dimension of completions of metric spaces
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- by S. Mrówka PDF
- Proc. Amer. Math. Soc. 125 (1997), 1545-1554 Request permission
Abstract:
We construct a 0-dimensional metric space which under a special set-theoretic assumption, denoted in the paper as S($\aleph _{0}$), does not have a 0-dimensional completion. Shortly after the submission of the paper for publication R. Dougherty has shown the consistency of S($\aleph _{0}$). (S($\aleph _{0}$) disagrees with the continuum hypothesis.)References
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Additional Information
- S. Mrówka
- Email: mrowka@acsu.buffalo.edu
- Received by editor(s): November 20, 1995
- Communicated by: Franklin D. Tall
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1545-1554
- MSC (1991): Primary 54F45; Secondary 54A35, 54E35, 54H05
- DOI: https://doi.org/10.1090/S0002-9939-97-04132-4
- MathSciNet review: 1423324