On linear topological spaces (linearly) homeomorphic to $R^\infty$
General Topology
2013-05-10 v1
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 .
Keywords
Cite
@article{arxiv.1305.2010,
title = {On linear topological spaces (linearly) homeomorphic to $R^\infty$},
author = {Taras Banakh},
journal= {arXiv preprint arXiv:1305.2010},
year = {2013}
}
Comments
3 pages