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Continuum many Frechet types of hereditarily strongly infinite-dimensional Cantor manifolds
NIISI Ran, Pattern Recognit & Expert Syst Div, Moscow, Russia Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland.
NIISI Ran, Pattern Recognit & Expert Syst Div, Moscow, Russia Warsaw Univ, Inst Math, PL-02097 Warsaw, Poland.
2000 (English)In: Proceedings of the American Mathematical Society, ISSN 0002-9939, E-ISSN 1088-6826, Vol. 128, no 4, 1207-1213 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2000. Vol. 128, no 4, 1207-1213 p.
Keyword [en]
hereditarily strongly infinite-dimensional, Cantor manifolds, continuum, embedding, incomparable spaces
National Category
Natural Sciences
Identifiers
URN: urn:nbn:se:liu:diva-49825OAI: oai:DiVA.org:liu-49825DiVA: diva2:270721
Available from: 2009-10-11 Created: 2009-10-11 Last updated: 2017-12-12

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CiteExportLink to record
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