Existence of non measurable sets
Existence of time averages from the topological point of view
Explicit construction of normal lattice configurations
We extend Champernowne’s construction of normal numbers to base b to the case and obtain an explicit construction of a generic point of the shift transformation of the set .
Exposé IV. Additif au théorème (4.3)
Extended Bochner Measurable Selectors.
Extending Coarse-Grained Measures
In [4] it is proved that a measure on a finite coarse-grained space extends, as a signed measure, over the entire power algebra. In [7] this result is reproved and further improved. Both the articles [4] and [7] use the proof techniques of linear spaces (i.e. they use multiplication by real scalars). In this note we show that all the results cited above can be relatively easily obtained by the Horn-Tarski extension technique in a purely combinatorial manner. We also characterize the pure measures...
Extending Minimal Varieties.
Extending quasi-invariant measures by using subgroups of a given group.
Extension and regularity of -group valued measures
Extensión de medidas difusas usando la esperanza monótona.
The monotone expectation is defined as a functional over fuzzy measures on finite sets. The functional is based on Choquet functional over capacities and its more relevant properties are proved, including the generalization of classical mathematical expectation and Dempster's upper and lower expectations of an evidence. In second place, the monotone expectation is used to define measures of fuzzy sets. Such measures are compared with the ones based on Sugeno integral. Finally, we prove a generalization...
Extension of a valuation on a lattice
Extension of group-valued set functions defined on lattices
Extension of Linear Operators
Extension of measure-like set functions
Extension of measures: a categorical approach
We present a categorical approach to the extension of probabilities, i.e. normed -additive measures. J. Novák showed that each bounded -additive measure on a ring of sets is sequentially continuous and pointed out the topological aspects of the extension of such measures on over the generated -ring : it is of a similar nature as the extension of bounded continuous functions on a completely regular topological space over its Čech-Stone compactification (or as the extension of continuous...
Extension of measures and integrals by the help of a pseudometric
Extension of null-additive set functions on algebra of subsets.
Extension of real-valued α-additive set functions
Extension of the Birkhoff and von Neumann ergodic theorems to semigroup actions
Extension of vector measures