| Title:
|
Two ideals connected with strong right upper porosity at a point (English) |
| Author:
|
Bilet, Viktoriia |
| Author:
|
Dovgoshey, Oleksiy |
| Author:
|
Prestin, Jürgen |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
65 |
| Issue:
|
3 |
| Year:
|
2015 |
| Pages:
|
713-737 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
Let $\rm SP$ be the set of upper strongly porous at $0$ subsets of $\mathbb R^{+}$ and let $\hat I(\rm SP)$ be the intersection of maximal ideals $\boldsymbol {I}\subseteq \rm SP$. Some characteristic properties of sets $E\in \hat I(\rm SP)$ are obtained. We also find a characteristic property of the intersection of all maximal ideals contained in a given set which is closed under subsets. 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 $\hat I(\rm SP).$ Earlier, completely strongly porous sets and some of their properties were studied in the paper V. Bilet, O. Dovgoshey (2013/2014). (English) |
| Keyword:
|
one-side porosity |
| Keyword:
|
local strong upper porosity |
| Keyword:
|
completely strongly porous set |
| Keyword:
|
ideal |
| MSC:
|
28A05 |
| MSC:
|
28A10 |
| idZBL:
|
Zbl 06537688 |
| idMR:
|
MR3407601 |
| DOI:
|
10.1007/s10587-015-0204-3 |
| . |
| Date available:
|
2015-10-04T18:12:07Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/144439 |
| . |
| Reference:
|
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