O ilości nierównoważnych metryk

• Authors: Marcin Zieliński

Title variants

EN

On non-equivalent metrics on a uncountable set

Abstracts

EN

It is well known that there exist many metrics on a non-emptyset. In the case of $(X, \varrho)$ − a finite metric set, it can be easily shown that all the metrics on X are equivalent. This paper examines the number of non-equivalent metrics on uncountably infinite sets.

Keywords

EN

nonequivalent metrics; metrizability; metric spaces

• Publisher: Uniwersytet Komisji Edukacji Narodowej w Krakowie
• Journal: Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
• Year: 2017
• Volume: 9
• Pages: 139-152

Dates

published

2017

Contributors

author

Marcin Zieliński

Identifiers

Biblioteka Nauki

1791034