Topology

1912 Submissions

[4] viXra:1912.0514 [pdf] submitted on 2019-12-29 22:41:37

Refutation of the Jordon Curve Theorem

Authors: Colin James III
Comments: 1 Page. © Copyright 2019 by Colin James III All rights reserved. Note that Disqus comments here are not read by the author; reply by email only to: info@cec-services dot com. Include a list publications for veracity. Updated abstract at ersatz-systems.com.

We evaluate the rendition of Brouwer’s fixed point theorem as conjectured to prove Jordon’s curve theorem. It is not tautologous and hence refutes both theorems. These results form a non tautologous fragment of the universal logic VŁ4.
Category: Topology

[3] viXra:1912.0352 [pdf] submitted on 2019-12-18 08:45:02

On Proofs of the Poincare Conjecture

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

[2] viXra:1912.0249 [pdf] replaced on 2020-01-17 23:03:58

English Version of the Study of the Continuum Power Problem

Authors: Vatolin Dm.
Comments: 15 Pages.

An unconditional and conclusive argument for the truth of the continuum hypothesis is found
Category: Topology

[1] viXra:1912.0161 [pdf] replaced on 2020-01-11 16:20:10

Solid Strips Configurations

Authors: Vincenzo Nardozza
Comments: 11 Pages.

We introduce the idea of Solid Strip Configurations which is a way of describing 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