| Title:
|
Pairwise monotonically normal spaces (English) |
| Author:
|
Marín, Josefa |
| Author:
|
Romaguera, Salvador |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1991 |
| Pages:
|
567-579 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce and study the notion of pairwise monotonically normal space as a bitopological extension of the monotonically normal spaces of Heath, Lutzer and Zenor. In particular, we characterize those spaces by using a mixed condition of insertion and extension of real-valued functions. This result generalizes, at the same time improves, a well-known theorem of Heath, Lutzer and Zenor. We also obtain some solutions to the quasi-metrization problem in terms of the pairwise monotone normality. (English) |
| Keyword:
|
pairwise monotonically normal space |
| Keyword:
|
quasi-metrizable bitopological space |
| Keyword:
|
pairwise stratifiable space |
| Keyword:
|
pairwise compact space |
| MSC:
|
54C30 |
| MSC:
|
54D15 |
| MSC:
|
54E20 |
| MSC:
|
54E35 |
| MSC:
|
54E55 |
| idZBL:
|
Zbl 0769.54034 |
| idMR:
|
MR1159802 |
| . |
| Date available:
|
2009-01-08T17:47:03Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118434 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/118484 |
| . |
| Reference:
|
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| . |
