Results 141 to 150 of about 5,027 (259)
On Borel mappings and σ-ideals generated by closed sets
We obtain some results about Borel maps with meager fibers on Polish spaces. The results are related to a recent dichotomy by Sabok and Zapletal, concerning Borel maps and σ-ideals generated by closed sets.
Zakrzewski, P., Pol, R.
core +1 more source
What Do Lithics Tell Us About Cultural Evolution? Insights From the Central African Record
ABSTRACT While Western historical narratives often incorporate a biased vision of human evolution—driven by a progressive view tied to a progressively evolving state of culture—this paper proposes combining archaeological lithic data with epistemological reflections to critique the modern regime of historicity, where progress is assumed as rational ...
Isis Isabella Mesfin
wiley +1 more source
On The Integral Representation of Strictly Continuous Set-Valued Maps
Let T be a completely regular topological space and C(T) be the space of bounded, continuous real-valued functions on T. C(T) is endowed with the strict topology (the topology generated by seminorms determined by continuous functions vanishing at in_nity)
Anaté K. Lakmon, Kenny K. Siggini
doaj +2 more sources
ABSTRACT The prevalence of obstructive sleep apnea (OSA) increases during pregnancy and is associated with gestational diabetes mellitus (GDM), although its clinical impact on birth outcomes remains unclear. We aimed to assess the effect of several OSA criteria and intermittent hypoxia in the third trimester on perinatal outcomes in women with GDM.
María Cerdà Moncadas +14 more
wiley +1 more source
The structure of hyperfinite Borel equivalence relations [PDF]
We study the structure of the equivalence relations induced by the orbits of a single Borel automorphism on a standard Borel space. We show that any two such equivalence relations which are not smooth, i.e., do not admit Borel selectors, are Borel ...
Kechris, A. S. +2 more
core
On the 1-1 sum of two Borel sets
It is shown that there exists a Borel subset B B of the real line and a homeomorphism ϕ \phi of the real line such that the set { x − ϕ ( x ) ; x ∈
Richard B. Darst
core +1 more source
Spatial depth for data in metric spaces
Abstract We propose a novel measure of statistical depth, the metric spatial depth, for data residing in an arbitrary metric space. The measure assigns high (low) values for points located near (far away from) the bulk of the data distribution, allowing quantifying their centrality/outlyingness.
Joni Virta
wiley +1 more source
Exponential Iteration and Borel Sets
We determine the exact Borel class of the points whose iterates under $\exp(z)+a$ tend to infinity. We also prove that the sets of non-escaping Julia points for many of these functions are topologically equivalent.
openaire +2 more sources
On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source
summary:We study the Borel summation method. We obtain a general sufficient condition for a given matrix $A$ to have the Borel property. We deduce as corollaries, earlier results obtained by G. M"uller and J.D. Hill.
Weber, Michel
core

