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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(e) ISSN 0002-9939(p)

     

On the dimension of Hilbert space remainders

Author(s): Jan J. Dijkstra; Jan van Mill
Journal: Proc. Amer. Math. Soc. 124 (1996), 3261-3263.
MSC (1991): Primary 54F45, 57N20
MathSciNet review: 1371121
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References | Similar articles | Additional information

References:

[A]
R. D. Anderson, Strongly negligible sets in Fréchet manifolds, Bull. Amer. Math. Soc. 75 (1969), 64--67. MR 38:6634

[BP]
C. Bessaga and A. Pe{\l}czy\'{n}ski, Selected Topics in Infinite-Dimensional Topology, PWN, Warszawa, 1975. MR 57:17657

[E]
R. Engelking, Sur la compactification des espaces métriques, Fund. Math. 48 (1960), 321-324. MR 23:A1347

[La]
M. Lavrentiev, Contributions à la théorie des ensembles homéomorphes, Fund. Math. 6 (1924), 149--160.

[Le]
A. Lelek, On the dimension of remainders in compact extensions, Soviet Math. Dokl. 6 (1965), 136--140.


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Additional Information:

Jan J. Dijkstra
Affiliation: Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-035
Email: jdijkstr@ua1vm.ua.edu

Jan van Mill
Affiliation: Faculteit Wiskunde en Informatica, Vrije Universiteit, De Boelelaan 1081a, 1081 HV Amsterdam, The Netherlands
Email: vanmill@cs.vu.nl

DOI: 10.1090/S0002-9939-96-03730-6
PII: S 0002-9939(96)03730-6
Received by editor(s): November 19, 1995
Received by editor(s) in revised form: November 27, 1995
Additional Notes: The first author is pleased to thank the Vrije Universiteit in Amsterdam for its hospitality and support.
Communicated by: James E. West
Copyright of article: Copyright 1996, American Mathematical Society




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