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arXiv · 1410.6324

Duality of Discrete Topological Vector Spaces

Ramamonjy Andriamifidisoa
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Abstract

For a field $\ef$, the discrete topological vector spaces over $\ \ef$ are essentially of the form $\ef^α$ where $α$ is an ordinal. With additional appropriate properties, they are isomorphic to $\ef^{(β)}$ where $β$ is again an ordinal. Finally, the categories of the vector spaces of the the first and the second type are equivalent.

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Ramamonjy Andriamifidisoa. 2014-10-23. Duality of Discrete Topological Vector Spaces. https://arxiv.org/abs/1410.6324

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