ArticleOriginal scientific text

Title

Cantor manifolds in the theory of transfinite dimension

Authors 1

Affiliations

  1. Department of Mathematics, University of Warsaw, Banacha 2, 02-097 Warszawa, Poland

Abstract

For every countable non-limit ordinal α we construct an α-dimensional Cantor ind-manifold, i.e., a compact metrizable space Zα such that dZα=α, and no closed subset L of Zα with ind L less than the predecessor of α is a partition in Zα. An α-dimensional Cantor Ind-manifold can be constructed similarly.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm145/fm14513.pdf

Pages:
39-64
Main language of publication
English
Received
1993-02-24
Accepted
1993-06-24
Published
1994
Exact and natural sciences