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Universal measure zero, large Hausdorff dimension, and nearly Lipschitz maps.
We prove that each analytic set contains a universally null set of the same Hausdorff dimension and that each metric space contains a universally null set of Hausdorff dimension no less than the topological dimension of the space. S...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Haar meager sets revisited
In the present article we investigate Darji's notion of Haar meager sets from define Haar meager sets in nonabelian Polish groups and show that many results, including the facts that Haar meager sets are meager and...
BA - Obecná matematika
- 2016 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
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Haar meager sets, their hulls, and relationship to compact sets
Let G be an abelian Polish group. We show that there is a strongly Haar meager set in G without any F-sigma. Haar meager hull (and that this still remains true that there is a coanalytic naively strongly Haar meager set wit...
Pure mathematics
- 2017 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
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Triple Representation Theorem for orthocomplete homogeneous effect algebras
The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the set of sharp elements S(E), and the center C(E) in the setting of meager-orthocomplete homogeneous effect algebras E. Second, we prove ...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Strong measure zero and meager-additive sets through the prism of fractal
, namely that a set of reals has sharp measure zero if and only if it is meager-additive. Some consequences: A subset of 2(omega) is meager-additive if and only if it is epsilon-additive; if f : 2(omega) -> 2(omega) is continuous an...
Pure mathematics
- 2019 •
- JSC •
- Link
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JSC - Článek v periodiku v databázi SCOPUS
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Measures in Locally Compact Groups Are Carried by Meager Sets
We show that for a sigma-finite diffused Borel measure in a nondiscrete locally bounded topological group there is a meager set which complement is of measure zero....
BA - Obecná matematika
- 2001 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Small Opaque Sets
that is of cardinality the continuum and universal measure zero, then each separable space contains a Borel-opaque set that is of universal measure zero. Similar results hold for opaque sets that are perfectly meager, lamb...
BA - Obecná matematika
- 2003 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Musings about the Triple Representation Theorem for Effect Algebras
The aim of our paper is to analyze the assumptions under which the Triple Representation Theorem for effect algebras holds.
BA - Obecná matematika
- 2013 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
More about sharp and meager elements in Archimedean atomic lattice effect algebras
The aim of our paper is twofold. First, we thoroughly study the set of meager elements M(E), the center C(E) and the compatibility center B(E) in the setting of atomic Archimedean lattice effect algebras E. The main result is that in this ca...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Gδ AND CO-MEAGER SEMIFILTERS
]ω . In particular, if U is co-meager then there are ultrafilters on U that are weak P-filters (extending a result of Kunen). If U is Gδ (and hence also co-meager......
Pure mathematics
- 2016 •
- Jimp •
- Link
Rok uplatnění
Jimp - Článek v periodiku v databázi Web of Science
Výsledek na webu
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