Abstract
We construct the topological framework within which we can study the solution space for a given dynamic equation on time scales. We call these the Hausdorff-Fell topologies. The space of finite time scales is dense in the space of all time scales under the Hausdorff-Fell topology. The natural projection from solutions to their domains is a homeomorphism when all solutions are unique.
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Lawrence, B.A., Oberste-Vorth, R.W. (2013). Topological Structures for Studying Dynamic Equations on Time Scales. In: Pinelas, S., Chipot, M., Dosla, Z. (eds) Differential and Difference Equations with Applications. Springer Proceedings in Mathematics & Statistics, vol 47. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-7333-6_49
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DOI: https://doi.org/10.1007/978-1-4614-7333-6_49
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