Geodesic
A dimension raising hereditary shape equivalence
Fundamenta Mathematicae, Tome 149 (1996) no. 3, pp. 265-274.

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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.
DOI : 10.4064/fm-149-3-265-274

Jan J. Dijkstra 1

1 
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Jan J.  Dijkstra. A dimension raising hereditary shape equivalence. Fundamenta Mathematicae, Tome 149 (1996) no. 3, pp. 265-274. doi : 10.4064/fm-149-3-265-274. http://geodesic.mathdoc.fr/articles/10.4064/fm-149-3-265-274/

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