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ArticleOriginal scientific text

Title

A dimension raising hereditary shape equivalence

Authors 1

Affiliations

  1. Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, Alabama 35487-0350, U.S.A.

Abstract

We construct a hereditary shape equivalence that raises transfinite inductive dimension from ω to ω+1. This shows that ind and Ind do not admit a geometric characterisation in the spirit of Alexandroff's Essential Mapping Theorem, answering a question asked by R. Pol.

Bibliography

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm149/fm14936.pdf

Fundamenta Mathematicae
1996/149/3
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Pages:
265-274
Main language of publication
English
Received
1995-05-09
Published
1996
Exact and natural sciences