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Continuum many Fréchet types of hereditarily strongly infinite-dimensional Cantor manifolds
Author(s):
Vitalij
A.
Chatyrko;
Elzbieta
Pol
Journal:
Proc. Amer. Math. Soc.
128
(2000),
1207-1213.
MSC (2000):
Primary 54F45
Posted:
December 10, 1999
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Abstract:
In this note we construct a family of continuum many hereditarily strongly infinite-dimensional Cantor manifolds such that for every two spaces from this family, no open subset of one is embeddable into the other.
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Additional Information:
Vitalij
A.
Chatyrko
Affiliation:
NIISI Ran, Pattern Recognition and Expert Systems Division, Moscow, Russia
Address at time of publication:
Department of Mathematics, Linkoping University, 581 83 Linkoping, Sweden
Email:
vitja@mai.liu.se
Elzbieta
Pol
Affiliation:
Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland
Email:
pol@mimuw.edu.pl
DOI:
10.1090/S0002-9939-99-05089-3
PII:
S 0002-9939(99)05089-3
Keywords:
Hereditarily strongly infinite-dimensional,
Cantor manifolds,
continuum,
embedding,
incomparable spaces
Received by editor(s):
January 13, 1998
Received by editor(s) in revised form:
May 9, 1998
Posted:
December 10, 1999
Communicated by:
Alan Dow
Copyright of article:
Copyright
2000,
American Mathematical Society
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