Local connectivity, open homogeneity and hyperspaces.

J. J. Charatonik

Revista Matemática de la Universidad Complutense de Madrid (1993)

  • Volume: 6, Issue: 2, page 269-276
  • ISSN: 1139-1138

Abstract

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In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains an open question.

How to cite

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Charatonik, J. J.. "Local connectivity, open homogeneity and hyperspaces.." Revista Matemática de la Universidad Complutense de Madrid 6.2 (1993): 269-276. <http://eudml.org/doc/43776>.

@article{Charatonik1993,
abstract = {In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains an open question.},
author = {Charatonik, J. J.},
journal = {Revista Matemática de la Universidad Complutense de Madrid},
keywords = {Hiperespacio; Espacio homogéneo; local connectivity; metric locally connected continua},
language = {eng},
number = {2},
pages = {269-276},
title = {Local connectivity, open homogeneity and hyperspaces.},
url = {http://eudml.org/doc/43776},
volume = {6},
year = {1993},
}

TY - JOUR
AU - Charatonik, J. J.
TI - Local connectivity, open homogeneity and hyperspaces.
JO - Revista Matemática de la Universidad Complutense de Madrid
PY - 1993
VL - 6
IS - 2
SP - 269
EP - 276
AB - In the first part of the paper behavior of conditions related to local connectivity at a point is discussed if the space is transformed under a mapping that is interior or open at the considered point of the domain. The second part of the paper deals with metric locally connected continua. They are characterized as continua for which the hyperspace of their nonempty closed subjects is homogeneous with respect to open mappings. A similar characterization for the hyperspace of subcontinua remains an open question.
LA - eng
KW - Hiperespacio; Espacio homogéneo; local connectivity; metric locally connected continua
UR - http://eudml.org/doc/43776
ER -

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