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Über die Darstellung der Lehre vom inhalt in der Integralrechnung

E. Schmidt (1922)

Mathematische Zeitschrift

Ultrafilter extensions of asymptotic density

Jan Grebík (2019)

Commentationes Mathematicae Universitatis Carolinae

We characterize for which ultrafilters on $ω$ is the ultrafilter extension of the asymptotic density on natural numbers $σ$ -additive on the quotient boolean algebra $𝒫 (ω) / d_{𝒰}$ or satisfies similar additive condition on $𝒫 (ω) / fin$ . These notions were defined in [Blass A., Frankiewicz R., Plebanek G., Ryll-Nardzewski C., A Note on extensions of asymptotic density, Proc. Amer. Math. Soc. 129 (2001), no. 11, 3313–3320] under the name $A P$ (null) and $A P$ (*). We also present a characterization of a $P$ - and semiselective ultrafilters...

Un théorème de décomposition d'applications mesurables

Alain Connes (1970/1971)

Séminaire Choquet. Initiation à l'analyse

Une Formule Approximative de Dimension pour Certain Produits de Riesz.

Ai Hua Fan (1994)

Monatshefte für Mathematik

Upper envelopes of inner premeasures

Heinz König (2000)

Annales de l'institut Fourier

The paper resumes one of the themes initiated in the final sections of the celebrated “Theory of Capacities” of Choquet 1953-54. It aims at comprehensive versions in the spirit of the author’s recent work in measure and integration.