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ISSN 1088-6826(e) ISSN 0002-9939(p)

Small inductive dimension of completions of metric spaces. II

Author(s): S. Mrówka
Journal: Proc. Amer. Math. Soc. 128 (2000), 1247-1256.
MSC (1991): Primary 54F45; Secondary 54A35, 54E35, 54H05
Posted: July 8, 1999
MathSciNet review: 1641073
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Abstract: Extending the results of a previous paper under the same title we show that, under $\mathbf{S}({\aleph _{0}})$ , $\operatorname{ind}{}_{c}\, \nu \mu _{0}^{2} = 2$ .

References:

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[Ku1]: John Kulesza, An example in the dimension theory of metrizable spaces, Topology and its appl. 35 (1990), 109 - 120.MR 91g:54045
[Ku2]: John Kulesza, Metrizable spaces where the inductive dimensions disagree, Trans. A.M.S. 318 , no. 2 . (1990), 763-781. MR 90g:54030
[M1]: S. Mrówka, Further results on E-compact spaces, Acta Math. 120 (1968), 161 - 185. MR 37:2165
[M2]: -, Small inductive dimension of completions of metric spaces, Proc. Amer. Math. Soc. 125 (5) (1997), 1545 - 1554. MR 97i:54043
[M3]: -, $N$ -compactness, metrizability and covering dimension, Rings of continuous functions, Marcell Dekker, Inc., New York and Basel, 1985, pp. 248 - 275.MR 86i:54034
[Ost]: A. Ostaszewski, A note on the Prabir Roy space, Topology Appl. 35, no. 2-3, (1990), 95-107.MR 91j:54060
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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: 10.1090/S0002-9939-99-05162-X
PII: S 0002-9939(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
Posted: July 8, 1999
Communicated by: Alan Dow
Copyright of article: Copyright 2000, American Mathematical Society

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