| Title:
|
Extensions of Lebesgue sets and of real-valued functions (English) |
| Author:
|
Blair, Robert L. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
31 |
| Issue:
|
1 |
| Year:
|
1981 |
| Pages:
|
63-74 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
46J10 |
| MSC:
|
54C30 |
| idZBL:
|
Zbl 0481.54009 |
| idMR:
|
MR604112 |
| DOI:
|
10.21136/CMJ.1981.101723 |
| . |
| Date available:
|
2008-06-09T14:42:27Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101723 |
| . |
| Reference:
|
[B1] R. L. Blair: Filter characterizations of z-, C*-, and C-embeddings.Fund. Math. 90 (1976), 285-300. Zbl 0357.54013, MR 0415564, 10.4064/fm-90-3-285-300 |
| Reference:
|
[B2] R. L. Blair: Extensions of continuous functions from dense subspaces.Proc. Amer. Math. Soc. 54 (1976), 355-359. Zbl 0322.54008, MR 0390999, 10.1090/S0002-9939-1976-0390999-0 |
| Reference:
|
[BH] R. L. Blair, A. W. Hager: Extensions of zero-sets and of real-valued functions.Math. Zeit. 136 (1974), 41-52. Zbl 0264.54011, MR 0385793, 10.1007/BF01189255 |
| Reference:
|
[GJ] L. Gillman, M. Jerison: Rings of continuous functions.University Series in Higher Math., Van Nostrand, Princeton, N.J., 1960. Zbl 0093.30001, MR 0116199 |
| Reference:
|
[Ha1] A. W. Hager: On inverse-closed subalgebras of C(X).Proc. London Math. Soc. 19 (1969), 233-257. Zbl 0169.54005, MR 0244948, 10.1112/plms/s3-19.2.233 |
| Reference:
|
[Ha2] A. W. Hager: Real-valued functions on Alexandroff (zero-set) spaces.Comment. Math. Univ. Carolinae 16 (1975), 755-769. Zbl 0312.54022, MR 0394547 |
| Reference:
|
[HaJ] A. W. Hager, D. G. Johnson: A note on certain subalgebras of C(X).Canad. J. Math. 20 (1968), 389-393. MR 0222647, 10.4153/CJM-1968-035-4 |
| Reference:
|
[HeJ] M. Henriksen, D. G. Johnson: On the structure of a class of archimedean lattice-ordered algebras.Fund. Math. 50 (1961), 73-94. Zbl 0099.10101, MR 0133698, 10.4064/fm-50-1-73-94 |
| Reference:
|
[He] E. Hewitt: A note on extensions of continuous functions.An. Acad. Brasil. Ci. 21 (1949), 175-179. MR 0031711 |
| Reference:
|
[I] J. R. Isbell: Algebras of uniformly continuous functions.Ann. of Math. 68 (1958), 96-125. Zbl 0081.11101, MR 0103407, 10.2307/1970045 |
| Reference:
|
[M1] 5. Mrówka: Some approximation theorems for rings of unbounded functions.Notices Amer. Soc. 11 (1964), 666. |
| Reference:
|
[M2] S. Mrówka: On some approximation theorems.Nieuw Archief voor Wiskunde (3) 16 (1968), 94-111. MR 0244938 |
| Reference:
|
[M3] S. Mrówka: Characterization of classes of functions by Lebesgue sets.Czech. Math. J. 19 (1969), 738-744. MR 0248291 |
| Reference:
|
[M4] S. Mrówka: Extending of continuous real-functions.Compositio Math. 21 (1969), 319-327. MR 0254813 |
| Reference:
|
[S] Yu. Smirnov: Mappings of systems of open sets.Mat. Sbornik N.S. 31 (73) (1952), 152-166. (Russian) MR 0050263 |
| Reference:
|
[T] H. Tong: Some characterizations of normal and perfectly normal spaces.Duke Math. J. 19 (1952), 289-292. Zbl 0046.16203, MR 0050265, 10.1215/S0012-7094-52-01928-5 |
| . |
