Selections and approaching points in products

Valentin Gutev

Commentationes Mathematicae Universitatis Carolinae (2016)

  • Volume: 57, Issue: 1, page 89-95
  • ISSN: 0010-2628

Abstract

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The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by García-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Katětov about complete normality of products. Also, some applications for products with a countably compact factor are demonstrated as well.

How to cite

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Gutev, Valentin. "Selections and approaching points in products." Commentationes Mathematicae Universitatis Carolinae 57.1 (2016): 89-95. <http://eudml.org/doc/276770>.

@article{Gutev2016,
abstract = {The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by García-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Katětov about complete normality of products. Also, some applications for products with a countably compact factor are demonstrated as well.},
author = {Gutev, Valentin},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {hyperspace; Vietoris topology; weak selection; ordinal space},
language = {eng},
number = {1},
pages = {89-95},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Selections and approaching points in products},
url = {http://eudml.org/doc/276770},
volume = {57},
year = {2016},
}

TY - JOUR
AU - Gutev, Valentin
TI - Selections and approaching points in products
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2016
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 57
IS - 1
SP - 89
EP - 95
AB - The present paper aims to furnish simple proofs of some recent results about selections on product spaces obtained by García-Ferreira, Miyazaki and Nogura. The topic is discussed in the framework of a result of Katětov about complete normality of products. Also, some applications for products with a countably compact factor are demonstrated as well.
LA - eng
KW - hyperspace; Vietoris topology; weak selection; ordinal space
UR - http://eudml.org/doc/276770
ER -

References

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  3. Fujii S., Miyazaki K., Nogura T., 10.2969/jmsj/05420273, J. Math. Soc. Japan 54 (2002), no. 2, 273–281. MR1883518DOI10.2969/jmsj/05420273
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  11. Gutev V., Nogura T., Selection pointwise-maximal spaces, Topology Appl. 146–147 (2005), 397–408. MR2107159
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  16. Miyazaki K., Continuous selections on almost compact spaces, Sci. Math. Jpn. 53 (2001), 489–494. MR1835918
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