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A counterexample concerning line-free groups and complete Erdos space
Author(s):
Jan
J.
Dijkstra;
Jan
van Mill
Journal:
Proc. Amer. Math. Soc.
134
(2006),
2281-2283.
MSC (2000):
Primary 46B25, 54F45
Posted:
February 2, 2006
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Abstract:
We present a weakly closed, one-dimensional, line-free subgroup of the separable Banach space  that is not homeomorphic to complete Erdos space. The existence of this example disproves a conjecture of Dobrowolski, Grabowski, and Kawamura.
References:
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- 3.
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Additional Information:
Jan
J.
Dijkstra
Affiliation:
Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081${}^a$, 1081 HV Amsterdam, The Netherlands
Email:
dijkstra@cs.vu.nl
Jan
van Mill
Affiliation:
Faculteit der Exacte Wetenschappen/Afdeling Wiskunde, Vrije Universiteit, De Boelelaan 1081${}^a$, 1081 HV Amsterdam, The Netherlands
Email:
vanmill@cs.vu.nl
DOI:
10.1090/S0002-9939-06-08232-3
PII:
S 0002-9939(06)08232-3
Keywords:
Banach space,
line-free group,
weakly closed,
complete Erd\H os space,
almost zero-dimensional
Received by editor(s):
December 8, 2004
Received by editor(s) in revised form:
February 25, 2005
Posted:
February 2, 2006
Communicated by:
N. Tomczak-Jaegermann
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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