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Results tagged with examples
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user 27013
For questions requesting examples of a certain structure or phenomenon
6
votes
Accepted
Cartesian monoidal star-autonomous categories
[I'm going to assume $S' \cong S$, which holds in every symmetric monoidal $*$-autonomous category. (See e.g. Lemma 5.6 of this paper.) This applies here since cartesianness implies symmetry. Part of …
- 6,406
7
votes
Accepted
Hopf monads in categorical probability theory
Here are two examples:
$$\frac{1}{2} \delta_{\left(x,\delta_y\right)} + \frac{1}{2} \delta_{\left(x',\delta_{y'}\right)}, \qquad \frac{1}{2} \delta_{\left(x,\delta_{y'}\right)} + \frac{1}{2} \delta_{\left …
- 6,406
2
votes
What notions are used but not clearly defined in modern mathematics?
In category theory, the concept of forgetful functor does not have a precise definition. I know of the following two candidate definitions, neither of which is fully adequate.
In the formalism of stuf …