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On van Mill's example of a normed  with 
Author(s):
Witold
Marciszewski
Journal:
Proc. Amer. Math. Soc.
126
(1998),
319-321.
MSC (1991):
Primary 57N17
MathSciNet review:
1452812
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Abstract:
In 1987 van Mill constructed an infinite-dimensional normed space  which is not homeomorphic with the product  . We give a short proof of this property of van Mill's example.
References:
- [Ke]
- A. S. Kechris, Classical Descriptive Set Theory, Springer-Verlag, New York, 1995. MR 96e:03057
- [Ku]
- K. Kuratowski, Applications of the Baire-category method to the problem of independent sets, Fund. Math. 81 (1973), 65-72. MR 49:3855
- [vM]
- J. van Mill, Domain invariance in infinite-dimensional linear spaces, Proc. Amer. Math. Soc. 101 (1987), 173-180. MR 88k:57023
- [My]
- J. Mycielski, Almost every function is independent, Fund. Math. 81 (1973), 43-48. MR 49:3854
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Additional Information:
Witold
Marciszewski
Affiliation:
Vrije Universiteit, Faculty of Mathematics and Computer Science, De Boelelaan 1081 a, 1081 HV Amsterdam, The Netherlands
Address at time of publication:
Institute of Mathematics, University of Warsaw, Banacha 2, 02--097 War- szawa, Poland
Email:
wmarcisz@mimuw.edu.pl
DOI:
10.1090/S0002-9939-98-04393-7
PII:
S 0002-9939(98)04393-7
Keywords:
Metric linear space,
normed space
Received by editor(s):
September 9, 1996
Received by editor(s) in revised form:
March 14, 1997
Additional Notes:
Research partially supported by KBN grant 2 P301 024 07.
Communicated by:
Alan Dow
Copyright of article:
Copyright
1998,
American Mathematical Society
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