Selections generating new topologies
Gutev, Valentin (University of KwaZulu-Natal (Durban, Sud-àfrica). School of Mathematical Sciences)
Tomita, Artur (Universidade de São Paulo. Instituto de Matemática e Estatística)
Date: |
2007 |
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 zerodimensional 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]. |
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Article ; recerca ; Versió publicada |
Published in: |
Publicacions matemàtiques, V. 51 n. 1 (2007) p. 3-15, ISSN 2014-4350 |
Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/218480
DOI: 10.5565/PUBLMAT_51107_01
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Record created 2007-03-29, last modified 2022-02-20