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15 February 2025
 
  » arxiv » 1609.0215

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New characterizations of the S topology on the Skorokhod space
Adam Jakubowski ;
Date 1 Sep 2016
AbstractThe $S$ 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.
Source arXiv, 1609.0215
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