November 26, 2012 Journal article Closed Access

Caserta, Agata

MARC21 XML Export

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    <subfield code="c">2012-11-26</subfield>
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    <subfield code="a">Strong Whitney convergence</subfield>
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    <subfield code="a">10.2298/fil1201081c</subfield>
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    <subfield code="a">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.</subfield>
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    <subfield code="a">Caserta, Agata</subfield>
    <subfield code="u">Department of Mathematics, Seconda Università degli Studi di Napoli, Caserta, Italy</subfield>
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    <subfield code="a">General Mathematics</subfield>
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