Topology

1711 Submissions

[7] viXra:1711.0464 [pdf] submitted on 2017-11-28 21:22:54

A Simple Proof of the Full Poincare Conjecture.

Authors: Johan Noldus
Comments: 1 Page.

A simple proof of the generalized Poincare conjecture is presented.
Category: Topology

[6] viXra:1711.0463 [pdf] submitted on 2017-11-28 22:35:43

A Simple Proof of a "Betti Morse" Theorem.

Authors: Johan Noldus
Comments: 1 Page.

A simple proof is given that for Morse cobordisms the Betti numbers are exactly equal to the number of critical Morsre points with corresponding index.
Category: Topology

[5] viXra:1711.0461 [pdf] submitted on 2017-11-28 23:31:47

A Considerable Extension of the "Betti-Morse" and Morse Theorem.

Authors: Johan Noldus
Comments: 1 Page.

We formulate a considerable extension of the usual Morse theorem.
Category: Topology

[4] viXra:1711.0460 [pdf] replaced on 2017-12-15 16:00:34

A Complete Classification of the Topology of Differentiable Manifolds, Based Upon Morse Theory.

Authors: Johan Noldus
Comments: 2 Pages.

We prove that the Betti numbers provide for a full topological classification.
Category: Topology

[3] viXra:1711.0445 [pdf] replaced on 2017-11-28 11:34:58

A Simple Proof of the Brouwer Theorem.

Authors: Johan Noldus
Comments: 2 Pages.

A new simple proof is given for the Brouwer fix point theorem.
Category: Topology

[2] viXra:1711.0301 [pdf] submitted on 2017-11-14 11:58:38

An “Approximate” Weierstrass Form Connecting Alexander Polynomials for Knots 86 and 87

Authors: Edigles Guedes
Comments: 3 Pages.

In this paper, we construct an equation involving Alexander polynomials for knots 86 and 87.
Category: Topology

[1] viXra:1711.0253 [pdf] submitted on 2017-11-09 00:57:34

Primal Hodge

Authors: Nicholas R. Wright
Comments: 6 Pages.

We find that the Hodge conjecture is an overdetermined system rather than an underdetermined system, thereby becoming homogenous and leading to overfitting. A product of normal spaces need not be normal thereby initiating and reinforcing the conjecture. A norm should be found through regularization. We find the Magic Star polygon to be a satisfying norm. The Torelli theorem also gives deep and technical proof. Analysis can be seen through a multiple regression technique. Automorphism is not obtainable with a contradiction in the trivial and integral.
Category: Topology