| Title:
|
On projectively quotient functors (English) |
| Author:
|
Zhuraev, T. F. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
42 |
| Issue:
|
3 |
| Year:
|
2001 |
| Pages:
|
561-573 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We introduce notions of projectively quotient, open, and closed functors. We give sufficient conditions for a functor to be projectively quotient. In particular, any finitary normal functor is projectively quotient. We prove that the sufficient conditions obtained are necessary for an arbitrary subfunctor $\Cal F$ of the functor $\Cal P$ of probability measures. At the same time, any ``good'' functor is neither projectively open nor projectively closed. (English) |
| Keyword:
|
projectively closed functor |
| Keyword:
|
finitary functor |
| Keyword:
|
functor of probability measures |
| MSC:
|
18B30 |
| MSC:
|
54B30 |
| MSC:
|
54D30 |
| idZBL:
|
Zbl 1053.54019 |
| idMR:
|
MR1860245 |
| . |
| Date available:
|
2009-01-08T19:16:12Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119271 |
| . |
| Reference:
|
[1] Shchepin E.V.: Functors and uncountable powers of compact spaces.Uspekhi Mat. Nauk 36 (1981), 3 3-62. MR 0622720 |
| Reference:
|
[2] Basmanov V.N.: Covariant functors, retracts and dimension.Dokl. Akad. Nauk USSR 271 (1983), 1033-1036. Zbl 0544.54007, MR 0722013 |
| Reference:
|
[3] Chigogidze A.Ch.: Extension of normal functors.Vestnik Mosk. Univ. Ser. I Mat. Mekh. 6 (1984), 40-42. Zbl 0588.54016, MR 0775298 |
| Reference:
|
[4] Fedorchuk V.V.: Probability measures in topology.Uspekhi Mat. Nauk 46 (1991), 1 41-80. Zbl 0735.54033, MR 1109036 |
| Reference:
|
[5] Fedorchuk V.V., Filippov V.V.: General Topology: Basic Constructions.Moscow, Mosk. Gos. Univ., 1988. Zbl 0658.54001, MR 1095303 |
| Reference:
|
[6] Engelking R.: General Topology.Warszawa, PWN, 1977. Zbl 0684.54001, MR 0500780 |
| . |
