| Title:
|
The omega limit sets of subsets in a metric space (English) |
| Author:
|
Ding, Changming |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
55 |
| Issue:
|
1 |
| Year:
|
2005 |
| Pages:
|
87-96 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we discuss the properties of limit sets of subsets and attractors in a compact metric space. It is shown that the $\omega $-limit set $\omega (Y)$ of $Y$ is the limit point of the sequence $\lbrace (\mathop {\mathrm Cl}Y)\cdot [i,\infty )\rbrace _{i=1}^{\infty }$ in $2^X$ and also a quasi-attractor is the limit point of attractors with respect to the Hausdorff metric. It is shown that if a component of an attractor is not an attractor, then it must be a real quasi-attractor. (English) |
| Keyword:
|
limit set of a set |
| Keyword:
|
attractor |
| Keyword:
|
quasi-attractor |
| Keyword:
|
hyperspace |
| MSC:
|
34C35 |
| MSC:
|
37B25 |
| MSC:
|
37B30 |
| MSC:
|
37C10 |
| MSC:
|
54H20 |
| idZBL:
|
Zbl 1081.37001 |
| idMR:
|
MR2121657 |
| . |
| Date available:
|
2009-09-24T11:21:00Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127960 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| . |
