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- W4301479830 abstract "The $S$ topology on the Skorokhod space was introduced by the author in 1997 and since then it proved to be a useful tool in several areas of the theory of stochastic processes. The paper brings complementary information on the $S$ topology. It is shown that the convergence of sequences in the $S$ topology admits a compact description, exhibiting the locally convex character of the $S$ topology. It is also shown that $S$ is, up to some technicalities, finer than any linear topology which is coarser than Skorokhod's $J_1$ topology. The paper contains also definitions of extensions of the $S$ topology to the Skorokhod space of functions defined on $[0,+infty)$ and with multidimensional values." @default.
- W4301479830 created "2022-10-05" @default.
- W4301479830 creator A5036465493 @default.
- W4301479830 date "2016-09-01" @default.
- W4301479830 modified "2023-09-27" @default.
- W4301479830 title "New characterizations of the S topology on the Skorokhod space" @default.
- W4301479830 doi "https://doi.org/10.48550/arxiv.1609.00215" @default.
- W4301479830 hasPublicationYear "2016" @default.
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