A dimension raising hereditary shape equivalence
Tom 149 / 1996
Fundamenta Mathematicae 149 (1996), 265-274
DOI: 10.4064/fm-149-3-265-274
Streszczenie
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.
