A counterexample concerning products in the shape category

J. Dydak; S. Mardešić

Fundamenta Mathematicae (2005)

  • Volume: 186, Issue: 1, page 39-54
  • ISSN: 0016-2736

Abstract

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We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.

How to cite

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J. Dydak, and S. Mardešić. "A counterexample concerning products in the shape category." Fundamenta Mathematicae 186.1 (2005): 39-54. <http://eudml.org/doc/282945>.

@article{J2005,
abstract = {We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.},
author = {J. Dydak, S. Mardešić},
journal = {Fundamenta Mathematicae},
keywords = {Cartesian product; products in a category; shape category; solenoid},
language = {eng},
number = {1},
pages = {39-54},
title = {A counterexample concerning products in the shape category},
url = {http://eudml.org/doc/282945},
volume = {186},
year = {2005},
}

TY - JOUR
AU - J. Dydak
AU - S. Mardešić
TI - A counterexample concerning products in the shape category
JO - Fundamenta Mathematicae
PY - 2005
VL - 186
IS - 1
SP - 39
EP - 54
AB - We exhibit a metric continuum X and a polyhedron P such that the Cartesian product X × P fails to be the product of X and P in the shape category of topological spaces.
LA - eng
KW - Cartesian product; products in a category; shape category; solenoid
UR - http://eudml.org/doc/282945
ER -

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