Quasi-equivalence of compacta and spaces of components.

José M. Rodríguez Sanjurjo

Collectanea Mathematica (1980)

  • Volume: 31, Issue: 1, page 3-10
  • ISSN: 0010-0757

Abstract

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Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.

How to cite

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Rodríguez Sanjurjo, José M.. "Quasi-equivalence of compacta and spaces of components.." Collectanea Mathematica 31.1 (1980): 3-10. <http://eudml.org/doc/39262>.

@article{RodríguezSanjurjo1980,
abstract = {Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.},
author = {Rodríguez Sanjurjo, José M.},
journal = {Collectanea Mathematica},
keywords = {Espacio topológico; Compacidad; quasi-equivalence of compacta; spaces of components},
language = {eng},
number = {1},
pages = {3-10},
title = {Quasi-equivalence of compacta and spaces of components.},
url = {http://eudml.org/doc/39262},
volume = {31},
year = {1980},
}

TY - JOUR
AU - Rodríguez Sanjurjo, José M.
TI - Quasi-equivalence of compacta and spaces of components.
JO - Collectanea Mathematica
PY - 1980
VL - 31
IS - 1
SP - 3
EP - 10
AB - Let X, Y be two compacta with Sh(X) = Sh (Y). Then, the spaces of components of X, Y are homeomorphic. This does not happen, in general, when X, Y are quasi-equivalent. In this paper we give a sufficient condition for the existence of a homeomorphism between the spaces of components of two quasi-equivalent compacta X, Y which maps each component in a quasi-equivalent component.
LA - eng
KW - Espacio topológico; Compacidad; quasi-equivalence of compacta; spaces of components
UR - http://eudml.org/doc/39262
ER -

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