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Results tagged with examples
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user 1708
For questions requesting examples of a certain structure or phenomenon
1
vote
Ternary relations that are not binary functions
This may be too specific for what you're going for, but this question immediately brought to mind to triality on $D_4$. Here's triality in a nutshell:
View $\mathbb{R}^8 = \mathbb{O}$ as the inner p …
3
votes
Appearances of 'exotic' compact Lie Groups
The fact that the group acting is $Sp(2)\cdot S^1$ and not $Sp(2)\times S^1$ caused a few headaches when it came time to compute the topology of these examples. …
3
votes
Fundamental Examples
The image of a torus embedded in $\mathbb{R}^3$ tilted on its side is the fundamental example of Morse Theory. In some sense it shows why you should "believe" all of the Morse lemmas before you sit d …
4
votes
Fundamental Examples
Spheres (of various dimensions) are the fundamental examples of (compact) Riemannian manifolds (or even Alexandrov spaces) of curvature > 0. …