Filters
I-ultrafilters and summable ideals
We study I-ultrafilters and two weaker notions in the setting where I is a tall summable ideal Ig on the natural numbers. Such ultrafilters are closely related for arbitrary summable ideal Ig or an ultrafilter whic...
BA - Obecná matematika
- 2010 •
- D
Rok uplatnění
D - Stať ve sborníku
Generic existence of ultrafilters on the natural numbers
Say that a class of ultrafilters exists generically if every filter base of size < c can be extended to an ultrafilter in that class. We investigate generic existence of ultrafilters defined in terms of ideals on the natural numbers, like...
Pure mathematics
- 2017 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Mathias-Prikry and Laver type forcing; Summable ideals, coideals, and +-selective filters
We study the Mathias–Prikry and the Laver type forcings associated with filters and coideals. We isolate a crucial combinatorial property of Mathias reals, and prove that Mathias–Prikry forcings with summable ideals are all mutually...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
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Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Maximal Subsets of Pairwise Summable Elements in Generalized Effect Algebras
summable subset is a sub-generalized effect algebra of (G;+, 0), called a summability block. If G is lattice ordered, then every summability block in G is a generalized index, then G is covered by its summability ...
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Ideals and sequentially compact spaces
A topological space X is said to be an I_{1/n}-space if for every sequence in X there exists a converging subsequence such that the set {x_{k_n}: n in N} does not belong to the summable ideal. Every I_{1/n}-space is ...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
I-ultrafilters in the rational perfect set model
cardinality of a family D of tall summable ideals such that an ultrafilter is rapid if and only if it has non-empty intersection with all the ideals in the family D-ideals such that |D| < d , there is an ultrafilt...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Blocks in Pairwise Summable Generalized Effect Algebras
We study so called pairwise summable generalized effect algebras and show some conditions under which they are generalized MV-effect algebras. Moreover, we give a necessary and sufficient condition for finite antichains of elements in pairwi...
BA - Obecná matematika
- 2014 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
On phi-convergence and phi-densities
The paper studies phi-convergence (a special type of summability method) and phi-density of subsets of integers. The relation of phi-density and other types of densities, in particular asymptotic, logarithmic, and uniform density, is analyze...
BA - Obecná matematika
- 2005 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Random Walk Process and Its Invertibility
Main topics of the document: random walk process; difference operator; square summable sequences; selfadjoint operator; closed operator...
BA - Obecná matematika
- 2014 •
- D
Rok uplatnění
D - Stať ve sborníku
On Summability, Multipliability, and Integrability
We define and study summability and multipliability of families indexed by well-ordered sets of real numbers. These concepts generalize the classical notions of convergence of infinite series and products. The members of the families are ass...
BA - Obecná matematika
- 2016 •
- C •
- Link
Rok uplatnění
C - Kapitola v odborné knize
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