On the space of functions without discontinuities of the second kind
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- by L. Š. Grinblat PDF
- Proc. Amer. Math. Soc. 60 (1976), 373-375 Request permission
Abstract:
In this note we prove a general theorem which implies the famous proposition that the space of functions without discontinuities of the second kind, equipped with the Skorohod metric, is homeomorphic to a complete metric space.References
- Gordon Thomas Whyburn, Analytic Topology, American Mathematical Society Colloquium Publications, Vol. 28, American Mathematical Society, New York, 1942. MR 0007095
- Waclaw Sierpinski, General topology, Mathematical Expositions, No. 7, University of Toronto Press, Toronto, 1952. Translated by C. Cecilia Krieger. MR 0050870
- Patrick Billingsley, Convergence of probability measures, John Wiley & Sons, Inc., New York-London-Sydney, 1968. MR 0233396
- Ĭ. Ī. Gīhman and A. V. Skorohod, The theory of stochastic processes. I, Die Grundlehren der mathematischen Wissenschaften, Band 210, Springer-Verlag, New York-Heidelberg, 1974. Translated from the Russian by S. Kotz. MR 0346882
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 60 (1976), 373-375
- MSC: Primary 54E50; Secondary 60B10
- DOI: https://doi.org/10.1090/S0002-9939-1976-0423313-2
- MathSciNet review: 0423313