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Article overview
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New characterizations of the S topology on the Skorokhod space | Adam Jakubowski
; | Date: |
1 Sep 2016 | 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. | Source: | arXiv, 1609.0215 | Services: | Forum | Review | PDF | Favorites |
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