Related papers: Another simple proof of the 1-dimensional flat cha…

We give a new simpler proof of a theorem of Jayne and Rogers.

A very simple and short proof of the polynomial matrix spectral factorization theorem (on the unit circle as well as on the real line) is presented, which relies on elementary complex analysis and linear algebra.

We give a proof of some small weight and level cases of Serre's conjecture.

In this paper, we give a simple counter example to the famous Hodge conjecture.

Simple and shorter proofs of two Dirac-type theorems involving connectivity are presented.

We provide a simple proof of Kamp's theorem.

This article provides a simple proof of the quadratic formula, which also produces an efficient and natural method for solving general quadratic equations. The derivation is computationally light and conceptually natural, and has the…

The purpose of this article is to present my new proof of the the construction and the convergence theorem of spectral sequences of filtered complexes, which is much shorter and cleaner than the "standard" proof.

We give a simple proof of a recently result concerning Hardy $q$-inequalities.

We present in this work a new and simple proof of the false centre theorem.

We give a very simple proof of a strengthened version of Chernoff's Inequality. We derive the same conclusion from much weaker assumptions.

Using Easton collapses, we give a simplified construction of a model in which Chang's Conjecture for triples holds.

I present a simple, elementary proof of Morley's theorem, highlighting the naturalness of this theorem.

We give an elementary short proof of Grothendieck's base change theorem for the cohomology of flat coherent sheaves.

We give a shorter and simpler proof of the result of [2], which gives a necessary and sufficient condition for when a lattice diagram is the projection of a lattice link.

We give a self-contained exposition of the proof of faithfully flat descent for projectivity of modules. This fills a gap in the proof given in the literature.

The parallel linear transports defined by flat linear connection are axiomatically described. On this basis a number of properties, some of which are new, of these transports and connections are derived.

A very short proof of Kneser's theorem via transversal is given.

Short proof of the aperiodicity of the Robinson tile set.

A criterion is established for the transitivity of connectedness in a transfinite graph. Its proof is much shorter than a prior argument published previously for that criterion.