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

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