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Continuum many Fréchet types of hereditarily strongly infinite-dimensional Cantor manifolds


Authors: Vitalij A. Chatyrko and Elzbieta Pol
Journal: Proc. Amer. Math. Soc. 128 (2000), 1207-1213
MSC (2000): Primary 54F45
DOI: https://doi.org/10.1090/S0002-9939-99-05089-3
Published electronically: December 10, 1999
MathSciNet review: 1636938
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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: https://doi.org/10.1090/S0002-9939-99-05089-3
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
Published electronically: December 10, 1999
Communicated by: Alan Dow
Article copyright: © Copyright 2000 American Mathematical Society