Tensor products in the category of topological vector spaces are not associative

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We show by example that the associative law does not hold for tensor products in the category of general (not necessarily locally convex) topological vector spaces. The same pathology occurs for tensor products of Hausdorff abelian topological groups.
7 pages; v2: new version focusses on the real case

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Functional Analysis, 46A16, 46A32, 22A05

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http://salesiana.dossiersoluciones.com/handle/123456789/67963

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307041
 http://arxiv.org/abs/math/0307041

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arXiv