A topology for certain measure spaces

A topology for certain measure spaces
HTML articles powered by AMS MathViewer

Trans. Amer. Math. Soc. 112 (1964), 1-18

DOI: https://doi.org/10.1090/S0002-9947-1964-0161953-5

PDF | Request permission

References

Henry Blumberg, The measurable boundaries of an arbitrary function, Acta Math. 65 (1935), no. 1, 263–282. MR 1555405, DOI 10.1007/BF02420947
Henry Blumberg, Arbitrary point transformations, Duke Math. J. 11 (1944), 671–685. MR 11714
Henry Blumberg, New properties of all real functions, Trans. Amer. Math. Soc. 24 (1922), no. 2, 113–128. MR 1501216, DOI 10.1090/S0002-9947-1922-1501216-9
Buchanan Cargal, Generalizations of continuity, Proc. Iowa Acad. Sci. 60 (1953), 477–481 (1954). MR 0062813
J. A. Clarkson, A property of derivatives, Bull. Amer. Math. Soc. 53 (1947), 124–125. MR 19712, DOI 10.1090/S0002-9904-1947-08757-7
W. W. Comfort and Hugh Gordon, Vitali’s theorem for invariant measures, Trans. Amer. Math. Soc. 99 (1961), 83–90. MR 118801, DOI 10.1090/S0002-9947-1961-0118801-6
A. Denjoy, Sur les fonctions dérivées sommables, Bull. Soc. Math. France 43 (1915), 161–248 (French). MR 1504743

Sur une propriété des fonctions dérivées

18

Arnaud Denjoy, Une extension du théorème de Vitali, Amer. J. Math. 73 (1951), 314–356 (French). MR 40385, DOI 10.2307/2372179
Casper Goffman, C. J. Neugebauer, and T. Nishiura, Density topology and approximate continuity, Duke Math. J. 28 (1961), 497–505. MR 137805
Casper Goffman and Daniel Waterman, Approximately continuous transformations, Proc. Amer. Math. Soc. 12 (1961), 116–121. MR 120327, DOI 10.1090/S0002-9939-1961-0120327-6
Hans Hahn and Arthur Rosenthal, Set Functions, University of New Mexico Press, Albuquerque, N.M., 1948. MR 0024504
Norman Levine, A note on functions continuous almost everywhere, Amer. Math. Monthly 66 (1959), 791–792. MR 107679, DOI 10.2307/2310467
N. F. G. Martin, Generalized condensation points, Duke Math. J. 28 (1961), 507–514. MR 133799
M. E. Munroe, Introduction to measure and integration, Addison-Wesley Publishing Co., Inc., Cambridge, Mass., 1953. MR 0053186
John C. Oxtoby, Spaces that admit a category measure, J. Reine Angew. Math. 205 (1960/61), 156–170. MR 140637, DOI 10.1515/crll.1960.205.156

Theory of the integral

H. M. Schaerf, On the continuity of measurable functions in neighborhood spaces, Portugal. Math. 6 (1947), 33–44; errata, 66. MR 21072
W. J. Trjitzinsky, Théorie métrique dans les espaces où il y a une mesure, Mémor. Sci. Math., Fasc. 143, Gauthier-Villars, Paris, 1960 (French). MR 0133419