@article{ASNSP_1969_3_23_2_243_0,
author = {Bruckner, A. M. and Rosenfeld, Melvin},
title = {On topologizing measure spaces via differentiation bases},
journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche},
pages = {243--258},
year = {1969},
publisher = {Scuola normale superiore},
volume = {Ser. 3, 23},
number = {2},
mrnumber = {245749},
zbl = {0175.34003},
language = {en},
url = {https://www.numdam.org/item/ASNSP_1969_3_23_2_243_0/}
}
TY - JOUR AU - Bruckner, A. M. AU - Rosenfeld, Melvin TI - On topologizing measure spaces via differentiation bases JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1969 SP - 243 EP - 258 VL - 23 IS - 2 PB - Scuola normale superiore UR - https://www.numdam.org/item/ASNSP_1969_3_23_2_243_0/ LA - en ID - ASNSP_1969_3_23_2_243_0 ER -
%0 Journal Article %A Bruckner, A. M. %A Rosenfeld, Melvin %T On topologizing measure spaces via differentiation bases %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1969 %P 243-258 %V 23 %N 2 %I Scuola normale superiore %U https://www.numdam.org/item/ASNSP_1969_3_23_2_243_0/ %G en %F ASNSP_1969_3_23_2_243_0
Bruckner, A. M.; Rosenfeld, Melvin. On topologizing measure spaces via differentiation bases. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 23 (1969) no. 2, pp. 243-258. https://www.numdam.org/item/ASNSP_1969_3_23_2_243_0/
[1] , Une extension du théorème de Vitali, Amer. J. Math. 73 (1951), 314-356. | Zbl | MR
[2] , Dérivations par rapport à un système de voisinages dans l'espace de tore, Proe. Japan. Acad. 30 (1954) 721-725. | Zbl | MR
[3] , and , Density topology and approximate continuity, Duke Math. J. 28 (1961) 497-505. | Zbl | MR
[4] and , Integral, Measure and Derivative, Prentice-Hall, Inglewood Cliff. New Jersey, (1966). | Zbl
[5] , Measure Theory, D. Van Nostand Company, New York N. Y., 1950. | Zbl | MR
[6] and , Full individual and class differeaitiation theorems in their relations to halo and Vitali properties, Canad. J. Math. 7 (1955) 221-274. | Zbl | MR
[7] , A remark on strong differentiation in a space of infinitly many dimensions, Mat. Tidsskr. B. (1952), 54-57. | Zbl | MR
[8] , General Topotogy, D. Van Nostrand Company, 1955. | Zbl | MR
[9] , Sur une propriété charactéristique de l'ensemble des nombres réels. Rec. Math. MOSCOW 16 (58) (1945) 281-290. | Zbl | MR
[10] and , Martingales et dérivation, Bull. Soc. Math. France 91 (1963) 455-543. | Zbl | MR | Numdam
[11] , Séparabilité et multiplication cartesienne des espaces topologiques, Fund. Math. 34 (1947) 127-143. | Zbl | MR
[12] , A theory of covering and differentiation, Trans. Amer. Math. Soc. 55 (1944) 205-235. | Zbl | MR
[13] , Introduction to measure and integration, Addison-Wesley, Cambridge, Mass., 1953. | Zbl | MR
[14] , Ableitungsbasen, Prätopologie und starker Vitalischer Satz, J. Reine Angew. Math., 191 (1953) 69-91. | Zbl | MR
[15] , Derivation abstracte des fonctions d'ensemble, J. Math. Pures Appl. 15 (1936). 391-409. | Zbl | JFM | Numdam
[16] , On Differentiation of Integrals and Approximate Continuity, Bull. Amer. Math. Soc 48 (1942), 414-420. | Zbl | MR
[17] , Theory of the Integral, Monographie Math. Warsaw, 1937. | JFM
[18] , Sur un probléme de la théorie générale des ensembles, Fund. Math. 33 (1945) 299-302. | Zbl | MR
[19] , Théorie métrique dans les espaces où il y a une mesure, Mémor. Sci. Math., Fase. 143. Gauthier-Villars, Paris, 1960, 119 pp. | Zbl | MR | Numdam
[20] , La Régularité Moyenne dans la théorie métrique, Mémor. Sci. Math., Fasc. 157, Gauthier-Villars, Paris, 1965, 88 pp. | Zbl | MR | Numdam






