Selections generating new topologies
- Autores: Valentin Gutev, Artur Hideyuki Tomita
- Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 51, Nº 1, 2007, págs. 3-15
- Idioma: inglés
- DOI: 10.5565/publmat_51107_01
- Enlaces
-
Resumen
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].
¿Es nuevo? Regístrese
Ventajas de registrarse
