A description of the topology of free topological vector spaces
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2018
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866913829716230144 |
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| author | Gabriyelyan, Saak |
| author_facet | Gabriyelyan, Saak |
| contents | We give a simple description of the topology of free topological vector space $\mathbb{V}(X)$ and the topology of the free locally convex space $L(X)$ over a Tychonoff space $X$. The case when $X$ is a pseudocompact space is also considered. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1804_05199 |
| institution | arXiv |
| publishDate | 2018 |
| record_format | arxiv |
| spellingShingle | A description of the topology of free topological vector spaces Gabriyelyan, Saak General Topology 22A05, 43A40, 54H11 We give a simple description of the topology of free topological vector space $\mathbb{V}(X)$ and the topology of the free locally convex space $L(X)$ over a Tychonoff space $X$. The case when $X$ is a pseudocompact space is also considered. |
| title | A description of the topology of free topological vector spaces |
| topic | General Topology 22A05, 43A40, 54H11 |
| url | https://arxiv.org/abs/1804.05199 |