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

Chatyrko, Vitalij; Pol, Elżbieta

doi:10.1090/S0002-9939-99-05089-3

Continuum many Fréchet types of hereditarily strongly infinite-dimensional Cantor manifolds
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by Vitalij A. Chatyrko and Elżbieta Pol PDF

Proc. Amer. Math. Soc. 128 (2000), 1207-1213 Request permission

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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