Affiliation:
1. Department of Mathematics, Seconda Università degli Studi di Napoli, Caserta, Italy
Abstract
The notion of strong uniform convergence on bornologies introduced in 2009.
by Beer-Levi turns to give the classical convergence introduced by Arzel? in
1883. Evert in 2003. introduced the notion of Arzel?-Whitney or simply
AW-convergence for a net of functions. We define a new type of convergence, a
"strong" form of Whitney convergence on bornologies, and we prove that on
some families it coincides with that AW-convergence. Furthermore, we study
the countability properties of this new function space.
Publisher
National Library of Serbia
Cited by
4 articles.
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