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Strong Whitney convergence

Caserta, Agata

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.

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Publication date:
November 26, 2012
DOI:
10.2298/fil1201081c

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10.2298/fil1201081c

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General Mathematics
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