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On Mutually Coherent Enumerations of Countable Sets
Veröffentlicht/Copyright:
10. März 2010
Abstract
The notion of compatibility of enumerations of countable (in particular, finite) sets is introduced and investigated. Some purely combinatorial problems connected with this notion are considered and several conditions are presented for the existence of mutually coherent enumerations of all members of a given family of countable sets.
Key words and phrases:: Mutually coherent enumerations; Latin square; initial partial selector; point-finite family of sets; admissible family of sets
Received: 2004-09-03
Published Online: 2010-03-10
Published in Print: 2005-December
© Heldermann Verlag
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Artikel in diesem Heft
- Some Basic 𝑑-Orthogonal Polynomial Sets
- On a Generalized Wilson Functional Equation
- Convergence in Measure of Logarithmic Means of Double Walsh–Fourier Series
- Problems of Statics of Two-Component Elastic Mixtures
- Wavelet Frames for Distributions in Anisotropic Besov Spaces
- Common Fixed Point and Invariant Approximation Results on Non-Starshaped Domains
- On Mutually Coherent Enumerations of Countable Sets
- On the Accuracy of Kraft Upper Bound for the 𝐿1-Distance between Gaussian Densities in 𝑅𝑘
- Continuity of Multilinear Marcinkiewicz Operators for the Extreme Cases of 𝑝
- On an Approximation Order of the Optimal Stopping Problem for 𝑛-Dimensional Diffusion Processes
- Generalized Bernoulli Polynomials Revisited and Some Other Appell Sequences
- Generalized Derivation and Double Operator Integrals
- Nonexistence of Weak Solutions for the 𝑝-Degenerate Subelliptic Inequalities Constructed by Generalized Baouendi–Grushin Vector Fields
- Optimal Control in Bombieri's and Tammi's Conjectures
- Preimages of Residual Sets of Continuous Functions under Operation of Superposition
- Oscillation and Nonoscillation Theorems for Superlinear Emden–Fowler Equations of even Order
Schlagwörter für diesen Artikel
Mutually coherent enumerations;
Latin square;
initial partial selector;
point-finite family of sets;
admissible family of sets
Artikel in diesem Heft
- Some Basic 𝑑-Orthogonal Polynomial Sets
- On a Generalized Wilson Functional Equation
- Convergence in Measure of Logarithmic Means of Double Walsh–Fourier Series
- Problems of Statics of Two-Component Elastic Mixtures
- Wavelet Frames for Distributions in Anisotropic Besov Spaces
- Common Fixed Point and Invariant Approximation Results on Non-Starshaped Domains
- On Mutually Coherent Enumerations of Countable Sets
- On the Accuracy of Kraft Upper Bound for the 𝐿1-Distance between Gaussian Densities in 𝑅𝑘
- Continuity of Multilinear Marcinkiewicz Operators for the Extreme Cases of 𝑝
- On an Approximation Order of the Optimal Stopping Problem for 𝑛-Dimensional Diffusion Processes
- Generalized Bernoulli Polynomials Revisited and Some Other Appell Sequences
- Generalized Derivation and Double Operator Integrals
- Nonexistence of Weak Solutions for the 𝑝-Degenerate Subelliptic Inequalities Constructed by Generalized Baouendi–Grushin Vector Fields
- Optimal Control in Bombieri's and Tammi's Conjectures
- Preimages of Residual Sets of Continuous Functions under Operation of Superposition
- Oscillation and Nonoscillation Theorems for Superlinear Emden–Fowler Equations of even Order
