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[2] viXra:1912.0352 [pdf] submitted on 2019-12-18 08:45:02
Authors: Dmitri Martila
Comments: 4 Pages.
On December 22, 2006, the journal Science honored Perelman's proof of the Poincare Conjecture as the scientific ``Breakthrough of the Year", the first time this honor was bestowed in the area of mathematics. However, I have critical questions about Perelman's proof of Poincare Conjecture. The conjecture states, that ``Every simply connected, closed 3-manifold is homeomorphic to the 3-sphere.'' The ``homeomorphic" means that by non-singular deformation one produces perfect sphere - the equivalent of initial space. However, pasting in foreign caps will not make such deformation. My short proofs are given.
Category: Topology
[1] viXra:1912.0161 [pdf] replaced on 2020-02-08 17:31:41
Authors: Vincenzo Nardozza
Comments: 10 Pages.
We introduce the idea of Solid Strip Configurations which is a way of construction 3-dimensional compact manifolds alternative to $\Delta$-complexes and CW complexes. The proposed method is just an idea which we believe deserve further formal mathematical investigation.
Category: Topology
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