Babiker: Some measure theoretic properties of completely regular spaces. Nota I

Babiker, A. G. A. G.:
Some measure theoretic properties of completely regular spaces. Nota I
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 59 (1975), fasc. n.5, p. 362-367, (English)
pdf (464 Kb), djvu (641 Kb). | MR 0466478 | Zbl 0357.28006

Sunto

In questa Nota I ed in una successiva Nota II gli spazi completamente regolari compatti rispetto ad una misura vengono studiati col nome di spazi "essentially Lindelöf", ottenendone due diverse caratterizzazioni.

Referenze Bibliografiche

[1] A. G. A. G. BABIKER (1971) - Ph. D. thesis, London.

[2] A. G. A. G. BABIKER (1972) - Uniform regularity of measures on completely regular spaces, «J. London Math. Soc.» (2), 5, 451-458. | fulltext (doi) | MR 316657 | Zbl 0261.28002

[3] A. G. A. G. BABIKER (1973) - Locally convex topologies on rings of continuous functions, «Rend. Ist. Matem. Univ. Trieste», 5, 95-119. | MR 448041 | Zbl 0275.54014

[4] N. BOURBAKI (1958) - Éléments de mathématique. Topologie générale. Ch. 9 (Paris). | MR 173226 | Zbl 0085.37103

[5] J. DIEUDONNÉ (1951) - Sur la convergence des suites de mesures de Radon, «Anais Acad. Brasil Ci.», 23, 21-38, 277-282. | MR 42496

[6] D. H. FERMLIN, D. J. H. GARLING and R. G. HAYDON (1972) - Bounded measures on topological spaces, «Proc. London Math. Soc.», 25, 115-136. | fulltext (doi) | MR 344405 | Zbl 0236.46025

[7] L. GILMAN and M. JERISON (1960) - Rings of continuous functions (Van Nostrand). | MR 116199

[8] R. B. KIRK (1969) - Measures on topological spaces and B-compactness, «Indagationes Math.», 21, 172-183. | MR 246104

[9] R. B. KIRK (1969) - Locally compact B-compact spaces, «Indagationes Math.», 21, 333-344. | MR 264609 | Zbl 0188.28003

[10] J. D. KNOWLES (1967) - Measures on topological spaces, «Proc. London Math. Soc.», 17, 139-156. | fulltext (doi) | MR 204602 | Zbl 0154.05101

[11] W. MORAN (1968) - The additivity of measures on completely regular spaces, «J. London Math. Soc.», 43, 633-639. | fulltext (doi) | MR 228645 | Zbl 0159.07802

[12] W. MORAN (1969) - Measures and mappings on topological spaces, «Proc. London Math. Soc.», 19, 493-508. | fulltext (doi) | MR 1575951 | Zbl 0186.37201

[13] F. D. SENTILLES (1972) - Bounded continuous functions on a completely regular space, «Trans. Amer. Math. Soc.», 168, 311-336. | fulltext (doi) | MR 295065 | Zbl 0244.46027

[14] V. S. VARADARAJAN (1961) - Measures on topological spaces, «Math. Sb., N.S.», 55 (97), 33-100 (1965) - «Amer. Math. Soc. Translations» (2), 48, 141-228. | MR 148838

bdim: Biblioteca Digitale Italiana di Matematica

Un progetto SIMAI e UMI

Referenza completa

Sunto

Referenze Bibliografiche