Parametrizations of Borel sets with large sections

Maitra, A.; Srivatsa, V. V.

doi:10.1090/S0002-9939-1985-0774020-3

Parametrizations of Borel sets with large sections
HTML articles powered by AMS MathViewer

by A. Maitra and V. V. Srivatsa

Proc. Amer. Math. Soc. 93 (1985), 543-548

DOI: https://doi.org/10.1090/S0002-9939-1985-0774020-3

PDF | Request permission

Abstract:

The main result of this article unifies, extends, and simplifies the proofs of Borel parametrization theorems for Borel sets with large sections.

References

K. Kuratowski, Topology. Vol. I, Academic Press, New York-London; Państwowe Wydawnictwo Naukowe [Polish Scientific Publishers], Warsaw, 1966. New edition, revised and augmented; Translated from the French by J. Jaworowski. MR 0217751
K. Kuratowski and C. Ryll-Nardzewski, A general theorem on selectors, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 13 (1965), 397–403 (English, with Russian summary). MR 188994
Ashok Maitra, Selectors for Borel sets with large sections, Proc. Amer. Math. Soc. 89 (1983), no. 4, 705–708. MR 719000, DOI 10.1090/S0002-9939-1983-0719000-7
R. Daniel Mauldin, Borel parametrizations, Trans. Amer. Math. Soc. 250 (1979), 223–234. MR 530052, DOI 10.1090/S0002-9947-1979-0530052-3
Richard Daniel Mauldin and Shashi Mohan Srivastava, Paramétrisations des ensembles coanalytiques à coupes relativement non maigres, C. R. Acad. Sci. Paris Sér. I Math. 292 (1981), no. 16, 743–745 (French). MR 619743
Yiannis N. Moschovakis, Descriptive set theory, Studies in Logic and the Foundations of Mathematics, vol. 100, North-Holland Publishing Co., Amsterdam-New York, 1980. MR 561709
R. Purves, Bimeasurable functions, Fund. Math. 58 (1966), 149–157. MR 199339, DOI 10.4064/fm-58-2-149-157
V. V. Srivatsa, Measurable parametrizations of sets in product spaces, Trans. Amer. Math. Soc. 270 (1982), no. 2, 537–556. MR 645329, DOI 10.1090/S0002-9947-1982-0645329-0
Robert Vaught, Invariant sets in topology and logic, Fund. Math. 82 (1974/75), 269–294. MR 363912, DOI 10.4064/fm-82-3-269-294