circle homeomorphism
Im just trying to show:
p(f^n)=n.p(f) where p is the rotation number, and f is any circle
homeomorphism, im not really sure where to start. i know its quite
elementary, and have convinced myself by drawing pictures.
.
Relevant Pages
- Re: Rotating a Plane
... original circle to corresponding points on the rotated circle. ... onto x-y plane and then rotate points around this vector. ... As to the direction of rotation, you can adopt the convention that the ... This last equation gives us the equations that define the transformation ... (comp.soft-sys.matlab) - Re: Proof: SO(3) diffeomorphic to RP^3
... this map is continuous and onto, ... be injective only insofar as it maps v and -v to the same rotation. ... Since you were willing to invoke "homeomorphism implies diffeomorphism ... (sci.math) - Re: Rotating a Plane
... rotating the circle about a line in the ... onto x-y plane and then rotate points around this ... As to the direction of rotation, ... terms of x, y, z, a, b, and c to derive the transformation ... (comp.soft-sys.matlab) - Re: Diophantine Approach...
... be able to rotate that ball around any of potentially 3 axes to move ... of a circle yields another point on the circle. ... the rotation idea I can see a glimmer of hope to a quicker solution. ... squares solution to help you efficiently find a 2 squares solution is ... (sci.math) - Re: Rotating a Plane
... I want transformation equations for rotating points on the ... original circle to corresponding points on the rotated circle. ... to "map" each point on the original circle to the rotated circle. ... rotation you describe? ... (comp.soft-sys.matlab) |
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