Consonance and Cantor set-selectors

Valentin Gutev

Open Mathematics (2013)

  • Volume: 11, Issue: 2, page 341-348
  • ISSN: 2391-5455

Abstract

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It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.

How to cite

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Valentin Gutev. "Consonance and Cantor set-selectors." Open Mathematics 11.2 (2013): 341-348. <http://eudml.org/doc/269500>.

@article{ValentinGutev2013,
abstract = {It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.},
author = {Valentin Gutev},
journal = {Open Mathematics},
keywords = {Set-valued mapping; Lower (upper) semi-continuous; Selection; Section; Consonant space; set-valued mapping; lower (upper) semi-continuous; selection; section; consonant space},
language = {eng},
number = {2},
pages = {341-348},
title = {Consonance and Cantor set-selectors},
url = {http://eudml.org/doc/269500},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Valentin Gutev
TI - Consonance and Cantor set-selectors
JO - Open Mathematics
PY - 2013
VL - 11
IS - 2
SP - 341
EP - 348
AB - It is shown that every metrizable consonant space is a Cantor set-selector. Some applications are derived from this fact, also the relationship is discussed in the framework of hyperspaces and Prohorov spaces.
LA - eng
KW - Set-valued mapping; Lower (upper) semi-continuous; Selection; Section; Consonant space; set-valued mapping; lower (upper) semi-continuous; selection; section; consonant space
UR - http://eudml.org/doc/269500
ER -

References

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