Dehn
Proper noun
Meaning
Dehn (plural Dehns)
A surname.
Anagrams
Examples
For example, a Dehn filling with slope on any knot in the 3-sphere gives a homology sphere; typically these are not homeomorphic to the 3-sphere.
During a tour of the spacious ballroom, Fran Dehn, president and CEO of the Menlo Park Chamber of Commerce told The Almanac, "It was worth the wait."
Thurston proved that in fact most Dehn fillings on a cusped hyperbolic 3-manifold resulted in hyperbolic 3-manifolds.
Together with his analysis of deformations of hyperbolic structures, he concluded that all but 10 Dehn surgeries on the figure-eight knot resulted in irreducible, non- Haken non- Seifert-fibered 3-manifolds.
The figure-eight knot and the (−2,3,7) pretzel knot are the only two hyperbolic knots known to have more than 6 exceptional surgeries, Dehn surgeries resulting in a non-hyperbolic 3-manifold; they have 10 and 7, respectively.
The plane with x and y restricted to limited values (analogous to the Dehn plane ) is external, and in this limited plane the parallel postulate is violated.