@article{10_21136_CMJ_1981_101723,
author = {Blair, Robert L.},
title = {Extensions of {Lebesgue} sets and of real-valued functions},
journal = {Czechoslovak Mathematical Journal},
pages = {63--74},
year = {1981},
volume = {31},
number = {1},
doi = {10.21136/CMJ.1981.101723},
mrnumber = {604112},
zbl = {0481.54009},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101723/}
}
TY - JOUR AU - Blair, Robert L. TI - Extensions of Lebesgue sets and of real-valued functions JO - Czechoslovak Mathematical Journal PY - 1981 SP - 63 EP - 74 VL - 31 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1981.101723/ DO - 10.21136/CMJ.1981.101723 LA - en ID - 10_21136_CMJ_1981_101723 ER -
Blair, Robert L. Extensions of Lebesgue sets and of real-valued functions. Czechoslovak Mathematical Journal, Tome 31 (1981) no. 1, pp. 63-74. doi: 10.21136/CMJ.1981.101723
[B1] R. L. Blair: Filter characterizations of z-, C*-, and C-embeddings. Fund. Math. 90 (1976), 285-300. | DOI | MR | Zbl
[B2] R. L. Blair: Extensions of continuous functions from dense subspaces. Proc. Amer. Math. Soc. 54 (1976), 355-359. | DOI | MR | Zbl
[BH] R. L. Blair, A. W. Hager: Extensions of zero-sets and of real-valued functions. Math. Zeit. 136 (1974), 41-52. | DOI | MR | Zbl
[GJ] L. Gillman, M. Jerison: Rings of continuous functions. University Series in Higher Math., Van Nostrand, Princeton, N.J., 1960. | MR | Zbl
[Ha1] A. W. Hager: On inverse-closed subalgebras of C(X). Proc. London Math. Soc. 19 (1969), 233-257. | DOI | MR | Zbl
[Ha2] A. W. Hager: Real-valued functions on Alexandroff (zero-set) spaces. Comment. Math. Univ. Carolinae 16 (1975), 755-769. | MR | Zbl
[HaJ] A. W. Hager, D. G. Johnson: A note on certain subalgebras of C(X). Canad. J. Math. 20 (1968), 389-393. | DOI | MR
[HeJ] M. Henriksen, D. G. Johnson: On the structure of a class of archimedean lattice-ordered algebras. Fund. Math. 50 (1961), 73-94. | DOI | MR | Zbl
[He] E. Hewitt: A note on extensions of continuous functions. An. Acad. Brasil. Ci. 21 (1949), 175-179. | MR
[I] J. R. Isbell: Algebras of uniformly continuous functions. Ann. of Math. 68 (1958), 96-125. | DOI | MR | Zbl
[M1] 5. Mrówka: Some approximation theorems for rings of unbounded functions. Notices Amer. Soc. 11 (1964), 666.
[M2] S. Mrówka: On some approximation theorems. Nieuw Archief voor Wiskunde (3) 16 (1968), 94-111. | MR
[M3] S. Mrówka: Characterization of classes of functions by Lebesgue sets. Czech. Math. J. 19 (1969), 738-744. | MR
[M4] S. Mrówka: Extending of continuous real-functions. Compositio Math. 21 (1969), 319-327. | MR
[S] Yu. Smirnov: Mappings of systems of open sets. Mat. Sbornik N.S. 31 (73) (1952), 152-166. (Russian) | MR
[T] H. Tong: Some characterizations of normal and perfectly normal spaces. Duke Math. J. 19 (1952), 289-292. | DOI | MR | Zbl
Cité par Sources :