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- W84902912 abstract "The Arzela-Ascoli Theorem gives conditions for a set to be compact in a function space, and is a useful theorem for existence proofs in many different mathematical contexts. The most natural structure for Arzela-Ascoli type theorems is the continuous convergence which is not necessarily topological even if the underlying base spaces are. Compact filters, on the other hand, are the logical extension of compact sets to filters with similar compactness-type properties. Compact filters have proved to be a useful tool in optimization and analysis. This thesis will show conditions for a filter to be compact on a function space, thus establishing an Arzela-Ascoli type of result for filters. INDEX WORDS: Arzela-Ascoli, Compact Filters, Convergence Spaces, Function Spaces, Filters 2010 Mathematics Subject Classification: 54A05, 54A20, 54C35, 54D30 COMPACT FILTERS AND THE ARZELA-ASCOLI THEOREM" @default.
- W84902912 created "2016-06-24" @default.
- W84902912 creator A5056655136 @default.
- W84902912 date "2012-01-01" @default.
- W84902912 modified "2023-09-24" @default.
- W84902912 title "Compact Filters and the Arzelá-Ascoli Theorem" @default.
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