Results 11 to 20 of about 6,838,637 (208)
Proceedings of the American Mathematical Society, 1986 Topological characterizations of all zero-dimensional homogeneous absolute Borel sets are obtained; it turns out that there are ω 1 {\omega _1} such spaces. We use results from game theory—particularly, about Wadge classes.
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A dedekind finite borel set [PDF]
Archive for Mathematical Logic, 2010 Latex2e: 21 pages Latest version at http://www.math.wisc.edu ...
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Borel sets with large squares [PDF]
, 1998 For a cardinal mu we give a sufficient condition (*)_mu (involving ranks measuring existence of independent sets) for: [(**)_mu] if a Borel set B subseteq R x R contains a mu-square (i.e.
S. Shelah
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Random selection of Borel sets
, 2013 A theory of random Borel sets is presented, based on dyadic resolutions of compact metric spaces. The conditional expectation of the intersection of two independent random Borel sets is investigated.
Bernd Günther
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On the sum of two Borel sets [PDF]
Proceedings of the American Mathematical Society, 1970 It is shown that the linear sum of two Borel subsets of the real line need not be Borel, even if one of them is compact and the other is \(G_\delta\). This result is extended to a fairly wide class of connected topological groups.
Erdős, Pál, Stone, A. H.
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On Borel sets belonging to every invariant ccc -ideal on 2^{ℕ}
, 2012 . Let I ccc be the σ -ideal of subsets of the Cantor group 2 N generated by Borel sets which belong to every translation-invariant σ -ideal on 2 N satisfying the countable chain condition (ccc). We prove that I ccc strongly vio- lates ccc.
P. Zakrzewski
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Borel structures on the set of Borel mappings
Topology and its Applications, 2012 In the paper [Pac. J. Math. 1, 5--31 (1951; Zbl 0044.11801)], \textit{R. Arens} and \textit{J. Dugundji} introduced and studied several types of topologies on the spaces of continuous functions such as admissible, proper and splitting topologies. In the paper under review, the authors study analogously Borel splitting and admissible structures on the ...
Georgiou, Dimitris +2 more
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Events of Borel Sets, Construction of Borel Sets and Random Variables for Stochastic Finance [PDF]
Formalized Mathematics, 2014 Summary We consider special events of Borel sets with the aim to prove, that the set of the irrational numbers is an event of the Borel sets. The set of the natural numbers, the set of the integer numbers and the set of the rational numbers are countable, so we can use the literature [10] (pp.
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Partial identification with categorical data and nonignorable missing outcomes
Canadian Journal of Statistics, EarlyView.Abstract Nonignorable missing outcomes are common in real‐world datasets and often require strong parametric assumptions to achieve identification. These assumptions can be implausible or untestable, and so we may wish to forgo them in favour of partially identified models that narrow the set of a priori possible values to an identification region.
Daniel Daly‐Grafstein, Paul Gustafson
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Bayesian inverse ensemble forecasting for COVID‐19
Canadian Journal of Statistics, EarlyView.Abstract Variations in strains of COVID‐19 have a significant impact on the rate of surges and on the accuracy of forecasts of the epidemic dynamics. The primary goal for this article is to quantify the effects of varying strains of COVID‐19 on ensemble forecasts of individual “surges.” By modelling the disease dynamics with an SIR model, we solve the ...
Kimberly Kroetch, Don Estep
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