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Group objects and Hopf algebras 3 (Catsters 37)

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Uploaded by on Jan 4, 2008

Examples of group objects in Cartesian categories other than Set, and the category of vector spaces as a non-Cartesian monoidal category.

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  • @ade678 What do you mean? The elementary tensors do form a basis for the tensor product; although not every tensor can be written as an elementary tensor. Or am I getting confused here?

    By the way, excellent videos, as has been said, very clear, thanks :)

  • Ah ha! There it is. That universal property of tensor products! (n.b. I think you may want to clarify that elementary tensors do *not* form a basis for the tensor product.) I am very impressed by you energy and clarity. So, please, do the community a favor and tell us what a tensor product really is! Again, try taking the tensor of two very elementary matrices.

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