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arXiv · 1508.05112

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

José Miguel Zapata
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Abstract

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.

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José Miguel Zapata. 2016-07-05. Versions of Eberlein-Šmulian and Amir-Lindenstrauss theorems in the framework of conditional sets. https://doi.org/10.2298/aadm160721016z

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