HOW SMALL ARE [sigma]-POROUS SETS AND WHY ARE WE INTERESTED IN IT?

HOW SMALL ARE [sigma]-POROUS SETS AND WHY ARE WE INTERESTED IN IT?

We describe some of the results of our ongoing investigation of differentiability of Lipschitz functions on infinite dimensional Banach spaces with particular emphasis on the role of porous sets played both in positive results and in key open problems. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Real analysis exchange 2007-01, Vol.33, p.105
Hauptverfasser: Lindenstrauss, J, Preiss, D, Tiser, J
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
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Zusammenfassung:We describe some of the results of our ongoing investigation of differentiability of Lipschitz functions on infinite dimensional Banach spaces with particular emphasis on the role of porous sets played both in positive results and in key open problems. [PUBLICATION ABSTRACT]
ISSN:0147-1937
1930-1219