Small inductive dimension of completions of metric spaces. II

Mrówka, S.

doi:10.1090/S0002-9939-99-05162-X

Small inductive dimension of completions
of metric spaces. II

Author: S. Mrówka
Journal: Proc. Amer. Math. Soc. 128 (2000), 1247-1256
MSC (1991): Primary 54F45; Secondary 54A35, 54E35, 54H05
DOI: https://doi.org/10.1090/S0002-9939-99-05162-X
Published electronically: July 8, 1999
MathSciNet review: 1641073
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Abstract | References | Similar Articles | Additional Information

Abstract: Extending the results of a previous paper under the same title we show that, under $\mathbf{S}({\aleph _{0}})$ , $\operatorname{ind}{}_{c}\, \nu \mu _{0}^{2} = 2$ .

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Additional Information

S. Mrówka
Affiliation: Department of Mathematics, State University of New York at Buffalo, 134 Defendorf Hall, Buffalo, New York 14224
Email: mrowka@acsu.buffalo.edu

DOI: https://doi.org/10.1090/S0002-9939-99-05162-X
Keywords: Inductive and covering dimension, metric spaces, completion, Bernstein sets, scattered sets
Received by editor(s): March 9, 1998
Received by editor(s) in revised form: June 4, 1998
Published electronically: July 8, 1999
Communicated by: Alan Dow
Article copyright: © Copyright 2000 American Mathematical Society