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The Sharp Sobolev Inequality And The Banchoff-Pohl Inequality On Surfaces, Ralph Howard
The Sharp Sobolev Inequality And The Banchoff-Pohl Inequality On Surfaces, Ralph Howard
Faculty Publications
No abstract provided.
Σary, Moorhead State University, Mathematics Department
Σary, Moorhead State University, Mathematics Department
Math Department Newsletters
No abstract provided.
The Set Of Hemispheres Containing A Closed Curve On The Sphere, Mary Kate Boggiano, Mark Desantis
The Set Of Hemispheres Containing A Closed Curve On The Sphere, Mary Kate Boggiano, Mark Desantis
Department of Math & Statistics Technical Report Series
Suppose you get in your car and take a drive on the sphere of radius R, so that when you return to your starting point the odometer indicates you've traveled less than 2πR. Does your path, γ, have to lie in some hemisphere?
This question was presented to us by Dr. Robert Foote of Wabash College. Previous authors chose two points, A and B, on γ such that these points divided γ into two arcs of equal length. Then they took the midpoint of the great circle arc joining A and B to be the North Pole and showed that …
Characterisations Of Slender Groups, Thomas Kelly
Characterisations Of Slender Groups, Thomas Kelly
Masters
Chapter 1 summarises some necessary results concerning free, divisible, algebraically compact and cotorsion groups. A detailed proof of the well-known result that the Specker group P is ℵ1 free but not free is included and the structure of the quotient group P/S is determined. The basic properties of slender groups are examined and cotorsion groups of cardinality less than or equal to that of the continuum are shown to be epimorphic images of P. Chapter II presents Nunke’s characterisation of slender groups. This approach establishes that homomorphic images of the Specker group P are the direct sum of a cotorsion …