A dimension raising hereditary shape equivalence

Volume 149 / 1996

Jan J. Dijkstra Fundamenta Mathematicae 149 (1996), 265-274 DOI: 10.4064/fm-149-3-265-274


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.


  • Jan J. Dijkstra

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