Results 21 to 30 of about 195 (57)
Description of locally finite families from a nonstandard point of view
Journal of Logic and Analysis, 2010 In nonstandard topology we can describe a given topology by the neighbourhood-monads of the standard points (see Sari, chapter 6 in Diener and Diener (2)).
Ulf Clotz
semanticscholar +1 more source
The Caccioppoli ultrafunctions
Advances in Nonlinear Analysis, 2017 Ultrafunctions are a particular class of functions defined on a hyperreal field ℝ∗⊃ℝ{\mathbb{R}^{\ast}\supset\mathbb{R}}. They have been introduced and studied in some previous works [2, 6, 7].
Benci Vieri +2 more
doaj +1 more source
The rapid points of a complex oscillation [PDF]
, 2012 By considering a counting-type argument on Brownian sample paths, we prove a result similar to that of Orey and Taylor on the exact Hausdorff dimension of the rapid points of Brownian motion.
Potgieter, Paul
core +2 more sources
Limits of log canonical thresholds [PDF]
, 2008 Let T_n denote the set of log canonical thresholds of pairs (X,Y), with X a nonsingular variety of dimension n, and Y a nonempty closed subscheme of X.
de Fernex, Tommaso, Mustata, Mircea
core +6 more sources
A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets [PDF]
, 2017 Results of Smale (1957) and Dugundji (1969) allow to compare the homotopy groups of two topological spaces $X$ and $Y$ whenever a map $f:X\to Y$ with strong connectivity conditions on the fibers is given.
Achille, Alessandro +1 more
core +2 more sources
A Correspondence Principle for the Gowers Norms
, 2012 We give a variation of the Furstenberg Correspondence which preserves the Gowers uniformity norms.Comment: Journal of Logic and Analysis, 4; February ...
Towsner, Henry
core +2 more sources
Axiomatics for the external numbers of nonstandard analysis [PDF]
, 2017 Neutrices are additive subgroups of a nonstandard model of the real numbers. An external number is the algebraic sum of a nonstandard real number and a neutrix.
Berg, Imme van den, Dinis, Bruno
core +2 more sources
A nonstandard construction of direct limit group actions [PDF]
, 2018 Manevitz and Weinberger proved that the existence of faithful $K$-Lipschitz $\mathbb{Z}/n\mathbb{Z}$-actions implies the existence of faithful $K$-Lipschitz $\mathbb{Q}/\mathbb{Z}$-actions.
Imamura, Takuma
core +2 more sources
Martingale property of empirical processes [PDF]
, 2006 It is shown that for a large collection of independent martingales, the martingale property is preserved on the empirical processes. Under the as- sumptions of independence and identical finite-dimensional distributions, it is proved that a large ...
Albeverio, S., Sun, Y., Wu, J.-L.
core +1 more source
, 2009 Lascar described E_KP as a composition of E_L and the topological closure of EL. We generalize this result to some other pairs of equivalence relations.
D. Lascar +6 more
core +1 more source