Tor functors: a basic explanation?

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Could anyone give a basic explanation about Tor functors and, particularly, any idea about how they might be useful for the description of natural language?

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I am providing some evidence of the use of vectors in linguistic analysis, which might be a necessary assumption for the usage of tensors and then Tor-functors, as some user pointed out.

http://dl.acm.org/citation.cfm?id=1870773