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Questions on cardinal invariants of Boolean algebras
In the book Cardinal Invariants on Boolean Algebras by J. Donald Monk many such cardinal functions are defined and studied. Among them several are...
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A Galvin–Hajnal theorem for generalized cardinal characteristics
We prove that a variety of generalized cardinal characteristics, including meeting numbers, the rea** number, and the dominating number, satisfy an...
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On minimax cardinal spline interpolation
It is shown that in the problem of cardinal interpolation, spline interpolants of various degrees are R -minimax, with respect to corresponding...
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The Behavior of Frequency Bandlimited Cardinal Interpolants
This chapter studies frequency bandlimited solutions to the cardinal interpolation problem with data that may have polynomial growth or decay. There...
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Minimal usco maps and cardinal invariants of the topology of uniform convergence on compacta
Minimal usco maps have applications in functional analysis, in optimization, they appear also in selection theorems, in the definition of Stegall...
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Preservation of splitting families and cardinal characteristics of the continuum
We show how to construct, via forcing, splitting families that are preserved by a certain type of finite support iterations. As an application, we...
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Some Topological and Cardinal Properties of the \(\boldsymbol{\lambda}_{\boldsymbol{\tau}}^{\boldsymbol{\varphi}}\)-Nucleus of a Topological Space \(\boldsymbol{X}\)
AbstractIn this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the
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Hereditary interval algebras and cardinal characteristics of the continuum
An interval algebra is a Boolean algebra which is isomorphic to the algebra of finite unions of half-open intervals, of a linearly ordered set. An...
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Energy-Stable Global Radial Basis Function Methods on Summation-By-Parts Form
Radial basis function methods are powerful tools in numerical analysis and have demonstrated good properties in many different simulations. However,...
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Some results on the space of rational cubic fractal interpolation functions
In this article, rational cubic fractal interpolation function (RCFIF) with three shape parameters is constructed. We develope the orthonormal basis...
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Ramsey theory over partitions I: Positive Ramsey relations from forcing axioms
In this series of papers we advance Ramsey theory over partitions. In this part, a correspondence between anti-Ramsey properties of partitions and...
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Numerical Solutions of Bivariate Nonlinear Integral Equations with Cardinal Splines
The main objective of this work is to develop an efficient technique for solving bivariate linear or nonlinear Volterra integral equations. The...