| Title:
|
Real-valued functions on Alexandroff (zero-set) spaces (English) |
| Author:
|
Hager, Anthony W. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
16 |
| Issue:
|
4 |
| Year:
|
1975 |
| Pages:
|
755-769 |
| . |
| Category:
|
math |
| . |
| MSC:
|
54C30 |
| MSC:
|
54C35 |
| MSC:
|
54C45 |
| MSC:
|
54C50 |
| MSC:
|
54E15 |
| MSC:
|
54G05 |
| MSC:
|
54G10 |
| MSC:
|
54H05 |
| idZBL:
|
Zbl 0312.54022 |
| idMR:
|
MR0394547 |
| . |
| Date available:
|
2008-06-05T20:49:45Z |
| Last updated:
|
2012-04-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/105664 |
| . |
| Reference:
|
[1] A. D. ALEXANDROFF: Additive set functions in abstract spaces.Mat. Sbornik 50 (1940), 30-348; 51 (1941), 563-628; 55 (1943), 169-238. Zbl 0023.39701, MR 0012207 |
| Reference:
|
[2] R. L. BLAIR A. W. HAGER: Extensions of zero-sets and of real-valued functions.Math. Zeit. 136 (1974), 41-52. MR 0385793 |
| Reference:
|
[3] R. ENGELKING: Outline of General Topology.Amsterdam, 1968. Zbl 0157.53001, MR 0230273 |
| Reference:
|
[4] Z. FROLÍK: Three uniform spaces associated with realvalued functions.Proc. Rome conference on rings of continuous functions 1973, to appear. MR 0375243 |
| Reference:
|
[5] Z. FROLÍK: On uniform spaces.Comment. Math. Univ. Carolinae 16 (1975), 189-199. MR 0370516 |
| Reference:
|
[6] L. GILLMAN M. JERISON: Rings of Continuous Functions.D. van Nostrand Co., 1960. MR 0116199 |
| Reference:
|
[7] H. GORDON: Rings of functions determined by zero-sets.Pac. J. Math. 36 (1971), 1331-157. Zbl 0185.38803, MR 0320996 |
| Reference:
|
[8] A. W. HAGER: On inverse-closed subalgebras of $C(X)$.Proc. London Math. Soc. (3) 19 (1969), 233-257. Zbl 0169.54005, MR 0244948 |
| Reference:
|
[9] A. W. HAGER: An approximation technique for real-valued functions.Gen. Top. and Appl. 1 (1971), 415-418. Zbl 0219.54010, MR 0291704 |
| Reference:
|
[10] A. W. HAGER: An approximation technique for real-valued functions, 2.preprint 1972. MR 0291704 |
| Reference:
|
[11] A. W. HAGER: Some nearly fine uniform spaces.Proc. London Math. Soc. (3) 28 (1974), 517-546. Zbl 0284.54017, MR 0397670 |
| Reference:
|
[12] A. W. HAGER: Uniformities induced by proximity, cozero- and Baire sets.to appear. |
| Reference:
|
[13] P. HAUSDORFF: Set Theory.(Chelsea Reprint) New York, 1957. Zbl 0081.04601 |
| Reference:
|
[14] R. D. MAULDIN: On the Baire system generated by a linear lattice of functions.Fund. Math. 68 (1970), 51-59. Zbl 0197.38104, MR 0273363 |
| Reference:
|
[15] S. G. MRÓWKA: Characterization of classes of functions by Lebesque sets.Czech. Math. J. 19 (1969), 738-744. MR 0248291 |
| . |
