Difference between revisions of "Convergence of time scales"
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==Which topology should be used on $\mathrm{CL}(\mathbb{R})$?== | ==Which topology should be used on $\mathrm{CL}(\mathbb{R})$?== | ||
Let $\{\mathbb{T}_n\}_{n=0}^{\infty}$ be a countable sequence of time scales. | Let $\{\mathbb{T}_n\}_{n=0}^{\infty}$ be a countable sequence of time scales. | ||
| + | |||
| + | =References= | ||
| + | <div id="tftotsotsfde"></div><bibtex> | ||
| + | @inproceedings{MR2547668, | ||
| + | title="The Fell topology on the space of time scales for dynamic equations", | ||
| + | author="Oberste-Vorth, Ralph W.", | ||
| + | booktitle="Advances in Dynamical Systems and Applications 2008", | ||
| + | } | ||
| + | </bibtex> | ||
Revision as of 20:35, 28 August 2014
The set of time scales is the hyperspace $\mathrm{CL}(\mathbb{R})$. There are three popular topologies on hyperspaces: the induced topology by the Hausdorff metric, the Vietoris topology, and the Fell topology.
Which topology should be used on $\mathrm{CL}(\mathbb{R})$?
Let $\{\mathbb{T}_n\}_{n=0}^{\infty}$ be a countable sequence of time scales.
References
<bibtex>@inproceedings{MR2547668,
title="The Fell topology on the space of time scales for dynamic equations",
author="Oberste-Vorth, Ralph W.",
booktitle="Advances in Dynamical Systems and Applications 2008",
}
</bibtex>
