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On the existence of exotic homotopy 3-spheres
Homotopy spheres 3-manifold topology Morse theory
2011/1/17
This paper gives a geometric topological proof that exotic ho-motopy 3-spheres do not exist.
Higher topological complexity and homotopy dimension of configuration spaces on spheres
Lusternik-Schnirelmann category Schwarz genus topological complexity configuration spaces hyperplane arrangements
2010/12/3
In the paper “On Higher Analogs of Topological Complexity”Yu. Rudyak introduced the concept of TCn(X), the nth topological complexity of a path-connected space X. This concept was developed as a gener...