Geodesic
Real-valued functions on Alexandroff (zero-set) spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 16 (1975) no. 4, pp. 755-769 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 54C30, 54C35, 54C45, 54C50, 54E15, 54G05, 54G10, 54H05 
@article{CMUC_1975_16_4_a13,
     author = {Hager, Anthony W.},
     title = {Real-valued functions on {Alexandroff} (zero-set) spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {755--769},
     year = {1975},
     volume = {16},
     number = {4},
     mrnumber = {0394547},
     zbl = {0312.54022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1975_16_4_a13/}
}
TY  - JOUR
AU  - Hager, Anthony W.
TI  - Real-valued functions on Alexandroff (zero-set) spaces
JO  - Commentationes Mathematicae Universitatis Carolinae
PY  - 1975
SP  - 755
EP  - 769
VL  - 16
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/CMUC_1975_16_4_a13/
LA  - en
ID  - CMUC_1975_16_4_a13
ER  - 
%0 Journal Article
%A Hager, Anthony W.
%T Real-valued functions on Alexandroff (zero-set) spaces
%J Commentationes Mathematicae Universitatis Carolinae
%D 1975
%P 755-769
%V 16
%N 4
%U http://geodesic.mathdoc.fr/item/CMUC_1975_16_4_a13/
%G en
%F CMUC_1975_16_4_a13
Hager, Anthony W. Real-valued functions on Alexandroff (zero-set) spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 16 (1975) no. 4, pp. 755-769. http://geodesic.mathdoc.fr/item/CMUC_1975_16_4_a13/

[1] A. D. ALEXANDROFF: Additive set functions in abstract spaces. Mat. Sbornik 50 (1940), 30-348; 51 (1941), 563-628; 55 (1943), 169-238. | MR | Zbl

[2] R. L. BLAIR A. W. HAGER: Extensions of zero-sets and of real-valued functions. Math. Zeit. 136 (1974), 41-52. | MR

[3] R. ENGELKING: Outline of General Topology. Amsterdam, 1968. | MR | Zbl

[4] Z. FROLÍK: Three uniform spaces associated with realvalued functions. Proc. Rome conference on rings of continuous functions 1973, to appear. | MR

[5] Z. FROLÍK: On uniform spaces. Comment. Math. Univ. Carolinae 16 (1975), 189-199. | MR

[6] L. GILLMAN M. JERISON: Rings of Continuous Functions. D. van Nostrand Co., 1960. | MR

[7] H. GORDON: Rings of functions determined by zero-sets. Pac. J. Math. 36 (1971), 1331-157. | MR | Zbl

[8] A. W. HAGER: On inverse-closed subalgebras of $C(X)$. Proc. London Math. Soc. (3) 19 (1969), 233-257. | MR | Zbl

[9] A. W. HAGER: An approximation technique for real-valued functions. Gen. Top. and Appl. 1 (1971), 415-418. | MR | Zbl

[10] A. W. HAGER: An approximation technique for real-valued functions, 2. preprint 1972. | MR

[11] A. W. HAGER: Some nearly fine uniform spaces. Proc. London Math. Soc. (3) 28 (1974), 517-546. | MR | Zbl

[12] A. W. HAGER: Uniformities induced by proximity, cozero- and Baire sets. to appear.

[13] P. HAUSDORFF: Set Theory. (Chelsea Reprint) New York, 1957. | Zbl

[14] R. D. MAULDIN: On the Baire system generated by a linear lattice of functions. Fund. Math. 68 (1970), 51-59. | MR | Zbl

[15] S. G. MRÓWKA: Characterization of classes of functions by Lebesque sets. Czech. Math. J. 19 (1969), 738-744. | MR