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arXiv · 1305.2010

On linear topological spaces (linearly) homeomorphic to $R^\infty$

Taras Banakh
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Abstract

We prove that every infinite-dimensional (locally convex) linear topological space that can be expressed as a direct limit of finite-dimensional metrizable compacta is (linearly) homeomorphic to the space $R^\infty=\dlim R^n$.

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Taras Banakh. 2013-05-09. On linear topological spaces (linearly) homeomorphic to $R^\infty$. https://arxiv.org/abs/1305.2010

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