Article
| Title: | Disconnections of plane continua (English) |
| Author: | Bajguz, W. |
| Language: | English |
| Journal: | Proceedings of the 19th Winter School "Geometry and Physics" |
| Volume: | |
| Issue: | 1999 |
| Year: | |
| Pages: | 53-55 |
| . | |
| Category: | math |
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| Summary: | The paper deals with locally connected continua $X$ in the Euclidean plane. Theorem 1 asserts that there exists a simple closed curve in $X$ that separates two given points $x$, $y$ of $X$ if there is a subset $L$ of $X$ (a point or an arc) with this property. In Theorem 2 the two points $x$, $y$ are replaced by two closed and connected disjoint subsets $A$, $B$. Again -- under some additional preconditions -- the existence of a simple closed curve disconnecting $A$ and $B$ is stated. (English) |
| MSC: | 53A04 |
| MSC: | 54D05 |
| MSC: | 54F15 |
| idZBL: | Zbl 0995.53003 |
| idMR: | MR1758078 |
| . | |
| Date available: | 2009-07-13T21:42:52Z |
| Last updated: | 2012-09-18 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/701647 |
| . |
Files
| Files | Size | Format | View |
|---|---|---|---|
| WSGP_19-1999-1_8.pdf | 392.0Kb | application/pdf |
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