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Noncommutative Cantor–Bendixson derivatives and scattered C⁎-algebras
We analyze the sequence obtained by consecutive applications of the Cantor–Bendixson derivative for a noncommutative scattered C⁎-algebra A, using the ideal IAt(A) generated by the minimal projections of A. With its help, w...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Bisimulation Invariant Monadic-Second Order Logic in the Finite
the class of all finite transition systems with Cantor-Bendixson rank at most k...
Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
- 2018 •
- D •
- Link
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D - Stať ve sborníku
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Bisimulation invariant monadic-second order logic in the finite
the class of all finite transition systems with Cantor-Bendixson rank at most k...
Computer and information sciences
- 2020 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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All minimal Cantor systems are slow
We show that every (invertible or noninvertible) minimal Cantor system embeds in the real line with vanishing derivative everywhere. We also study relations between local shrinking and periodic points....
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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Taming the 'Elsewhere': On Expressivity of Topological Languages
In topological modal logic, it is well known that the Cantor derivative is more expressive than the topological closure, and the ‘elsewhere’, or ‘difference’, operator adding the Cantor derivative. In this paper we...
Pure mathematics
- 2024 •
- Jimp •
- Link
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Edrei's Conjecture revisited
Motivated by a recent result of Ciesielski and Jasi´nski we study periodic point free Cantor systems that are conjugate to systems with vanishing derivative everywhere, and more generally locally radially shrinking maps. Our study u...
Pure mathematics
- 2018 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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A Cantor dynamical system is slow if and only if all its finite orbits are attracting
In this paper we completely solve the problem of when a Cantor dynamical system (X, f) can be embedded in R with vanishing derivative. For this purpose we construct a refining sequence of marked clopen partitions of X which is adapt...
Pure mathematics
- 2022 •
- Jimp •
- Link
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Dynamic Cantor Derivative Logic
Topological semantics for modal logic based on the Cantor derivative operator gives rise to derivative logics, also referred to as d-logics. Unlike logics based on the topological closure operator, d-logics have not previou...
Pure mathematics
- 2022 •
- D •
- Link
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The Influence of National Revival on the Musical Activities of Moravian Cantors
The study deals with the effects of cantors in Moravia and the impact of their activities on the local musical life.
AL - Umění, architektura, kulturní dědictví
- 2010 •
- D
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D - Stať ve sborníku
The generalized and modified Halton sequences in Cantor bases
sequences in a generalized numeration system, called the Cantor expansion, with respect to arbitrary sequences of permutations of the Cantor base. We first show that they provide of the generalized Halton sequence in bounded Ca...
Pure mathematics
- 2019 •
- Jimp •
- Link
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Jimp - Článek v periodiku v databázi Web of Science
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