Výsledky vyhledávání

Akademický článek

The Alexandroff property and the preservation of strong uniform continuity

Autor: Gerald Beer

Publikováno v: Applied General Topology, Vol 11, Iss 2, Pp 117-133 (2010)

In this paper we extend the theory of strong uniform continuity and strong uniform convergence, developed in the setting of metric spaces in, to the uniform space setting, where again the notion of shields plays a key role. Further, we display approp

Externí odkaz: https://doaj.org/article/c32424ef6e1344f09192ea49658a12bd

Zobrazit plný text záznamu

Akademický článek

Well-posedness, bornologies, and the structure of metric spaces

Autor: Gerald Beer, Manuel Segura

Publikováno v: Applied General Topology, Vol 10, Iss 1, Pp 131-157 (2009)

Given a continuous nonnegative functional λ that makes sense defined on an arbitrary metric space (X, d), one may consider those spaces in which each sequence (xn) for which lim n→∞λ(xn) = 0 clusters. The compact metric spaces, the complete met

Externí odkaz: https://doaj.org/article/55b95e1e4a5d492a8d8a9b20f102b695

Zobrazit plný text záznamu

Akademický článek

Product metrics and boundedness

Autor: Gerald Beer

Publikováno v: Applied General Topology, Vol 9, Iss 1, Pp 133-142 (2008)

This paper looks at some possible ways of equipping a countable product of unbounded metric spaces with a metric that acknowledges the boundedness characteristics of the factors.

Externí odkaz: https://doaj.org/article/c275f9c14feb47b6a56c47bbe2fbaac9

Zobrazit plný text záznamu