New answers tagged universal-property
5
votes
Accepted
Defining matrix multiplication via contractions and tensor products
Let $v \in V$, $\varphi \in V^\ast$. Then $v \otimes \varphi \in V \otimes V^\ast$ represents the endomorphism,
$$L_{v \otimes \varphi}(w) = \varphi(w)v, \forall w \in V$$
Thus,
$$(L_{v \otimes \...
3
votes
Accepted
Sheafification with values in general categories through fiber products?
First, let me state my scepticism regarding this generalisation/definition of "sheaf".
It is possible to eliminate the hypothesis on the existence of products by using more complicated ...
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