Two ideals connected with strong right upper porosity at a point
| Autor: | Oleksiy Dovgoshey, Jürgen Prestin, Viktoriia Bilet |
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| Rok vydání: | 2015 |
| Předmět: |
Discrete mathematics
General Mathematics 010102 general mathematics 01 natural sciences 28A10 28A05 010101 applied mathematics Combinatorics chemistry.chemical_compound chemistry Intersection Mathematics - Classical Analysis and ODEs Ordinary differential equation Classical Analysis and ODEs (math.CA) FOS: Mathematics Point (geometry) Ideal (ring theory) 0101 mathematics Characteristic property Porosity Mathematics |
| Zdroj: | Czechoslovak Mathematical Journal. 65:713-737 |
| ISSN: | 1572-9141 0011-4642 |
| DOI: | 10.1007/s10587-015-0204-3 |
| Popis: | Let $SP$ be the set of upper strongly porous at $0$ subsets of $\mathbb R^{+}$ and let $\hat I(SP)$ be the intersection of maximal ideals $I \subseteq SP$. Some characteristic properties of sets $E\in\hat I(SP)$ are obtained. It is shown that the ideal generated by the so-called completely strongly porous at $0$ subsets of $\mathbb R^{+}$ is a proper subideal of $\hat I(SP).$ Comment: 18 pages |
| Databáze: | OpenAIRE |
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