# Selections generating new topologies.

Publicacions Matemàtiques (2007)

- Volume: 51, Issue: 1, page 3-15
- ISSN: 0214-1493

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topGutev, Valentin, and Tomita, Artur. "Selections generating new topologies.." Publicacions Matemàtiques 51.1 (2007): 3-15. <http://eudml.org/doc/41884>.

@article{Gutev2007,

abstract = {Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an interval-like topology on X. In the present paper, we demonstrate that, for a second-countable zero-dimensional space X, this topology may fail to be first-countable at some (or, even any) point of X. This settles some problems stated in [7].},

author = {Gutev, Valentin, Tomita, Artur},

journal = {Publicacions Matemàtiques},

keywords = {Espacios topológicos; Hiperespacio; Selecciones continuas; Hyperspace topology; Vietoris topology; continuous selection; weak selection},

language = {eng},

number = {1},

pages = {3-15},

title = {Selections generating new topologies.},

url = {http://eudml.org/doc/41884},

volume = {51},

year = {2007},

}

TY - JOUR

AU - Gutev, Valentin

AU - Tomita, Artur

TI - Selections generating new topologies.

JO - Publicacions Matemàtiques

PY - 2007

VL - 51

IS - 1

SP - 3

EP - 15

AB - Every (continuous) selection for the non-empty 2-point subsets of a space X naturally defines an interval-like topology on X. In the present paper, we demonstrate that, for a second-countable zero-dimensional space X, this topology may fail to be first-countable at some (or, even any) point of X. This settles some problems stated in [7].

LA - eng

KW - Espacios topológicos; Hiperespacio; Selecciones continuas; Hyperspace topology; Vietoris topology; continuous selection; weak selection

UR - http://eudml.org/doc/41884

ER -

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