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Results tagged with surfaces
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user 61824
A surface is a two-dimensional topological manifold. The term can also be used to describe a smooth surface, depending on the context.
6
votes
1
answer
360
views
Immersion in $\mathbb R^3$ of a Klein bottle with Morse-Bott height function without centers
Can the Klein bottle be immersed in $\mathbb R^3$ so that the associated height function be of Morse-Bott type and have no centers?
That is, the height function would have only Bott-type extrema and …
4
votes
1
answer
490
views
Immersion of non-orientable surface in $\mathbb R^3$ with conditions on the height function
The surfaces shown are images of immersions (i.e., locally smooth embeddings) in the complements of the singular points (white dots). …