# 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