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Full-Text Articles in Physical Sciences and Mathematics
Actions Of Sl(N,Z) On Homology Spheres, Kamlesh Parwani
Actions Of Sl(N,Z) On Homology Spheres, Kamlesh Parwani
Kamlesh Parwani
Any continuous action of SL(n,Z), where n > 2, on a r-dimensional mod 2 homology sphere factors through a finite group action if r < n - 1. In particular, any continuous action of SL(n+2,Z) on the n-dimensional sphere factors through a finite group action.
Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani
Monotone Periodic Orbits For Torus Homeomorphisms, Kamlesh Parwani
Kamlesh Parwani
Let f be a homeomorphism of the torus isotopic to the identity and suppose that there exists a periodic orbit with a non-zero rotation vector (p/q,r/q), then f has a topologically monotone periodic orbit with the same rotation vector.