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Continuum many Fréchet types of hereditarily strongly infinite-dimensional Cantor manifolds |
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| Authors: | Vitalij A. Chatyrko Elzbieta Pol |
| Affiliation: | NIISI Ran, Pattern Recognition and Expert Systems Division, Moscow, Russia ; Institute of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland |
| 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. |
| Keywords: | Hereditarily strongly infinite-dimensional Cantor manifolds continuum embedding incomparable spaces |
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