A dimension raising hereditary shape equivalence

Jan Dijkstra

Fundamenta Mathematicae (1996)

  • Volume: 149, Issue: 3, page 265-274
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Dijkstra, Jan. "A dimension raising hereditary shape equivalence." Fundamenta Mathematicae 149.3 (1996): 265-274. <http://eudml.org/doc/212123>.

@article{Dijkstra1996,
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.},
author = {Dijkstra, Jan},
journal = {Fundamenta Mathematicae},
keywords = {hereditary shape equivalence; transfinite inductive dimension},
language = {eng},
number = {3},
pages = {265-274},
title = {A dimension raising hereditary shape equivalence},
url = {http://eudml.org/doc/212123},
volume = {149},
year = {1996},
}

TY - JOUR
AU - Dijkstra, Jan
TI - A dimension raising hereditary shape equivalence
JO - Fundamenta Mathematicae
PY - 1996
VL - 149
IS - 3
SP - 265
EP - 274
AB - 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.
LA - eng
KW - hereditary shape equivalence; transfinite inductive dimension
UR - http://eudml.org/doc/212123
ER -

References

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