| Title:
|
Continuity of monotone functions (English) |
| Author:
|
Lavrič, Boris |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
29 |
| Issue:
|
1 |
| Year:
|
1993 |
| Pages:
|
1-4 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
It is shown that a monotone function acting between euclidean spaces $R^n$ and $R^m$ is continuous almost everywhere with respect to the Lebesgue measure on $R^n$. (English) |
| Keyword:
|
order monotone functions on euclidean spaces |
| Keyword:
|
solid set |
| Keyword:
|
solid cover |
| Keyword:
|
continuity |
| Keyword:
|
Lebesgue measure |
| MSC:
|
26B05 |
| MSC:
|
26B12 |
| MSC:
|
26B15 |
| idZBL:
|
Zbl 0805.26005 |
| idMR:
|
MR1242622 |
| . |
| Date available:
|
2008-06-06T21:23:24Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107460 |
| . |
| Reference:
|
[1] Marsden, J. E.: Elementary Classical Analysis.Freeman and Company, San Francisco, 1974. Zbl 0285.26005, MR 0357693 |
| Reference:
|
[2] Spivak, M.: Calculus on Manifolds.Benjamin, New York, 1965. Zbl 0141.05403, MR 0209411 |
| . |
