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Versions of Eberlein-Šmulian and Amir-Lindenstrauss theorems in the framework of conditional sets

Based on conditional set theory, we study conditional weak topologies, extending some well-known results to this framework and culminating with the proof of conditional versions of Eberlein-Šmulian and Amir-Lindenstrauss Theorems. In pursuing this aim, we prove conditional versions of Baire Category Theorem and Uniform Boundedness Principle.

preprint2016arXivOpen access
José Miguel Zapata
math.FA
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José Miguel Zapata

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