Related papers: Yet another elementary proof of Morley's theorem
We provide a short proof of the 1-dimensional flat chain conjecture.
We give a pen and paper and (comparatively) much simpler proof to verify of the Four Colour Theorem.
In this paper we present a short and elementary proof for the error in Simpson's rule.
In this note, we present a simple non-directed graph proof of Sharkovsky's theorem which is different from the one given in [2].
We give a simple proof of the increasing strengthening of Arhangel'skii's Theorem. Our proof naturally leads to a refinement of this result of Juh\'asz.
We present an astonishingly simple and elegant proof of the celebrated Basel problem.
We prove the decidability of the elementary theory of a free group.
The note contains a short elementary proof of Cayley's formula for labeled trees.
It is proven an analogue of The Theorem of Moser according to an iterative normalization procedure depending on Generalized Fischer Decompositions.
We prove an elementary lemma concerning primitive amalgams and use it to greatly simplify the proof of the Sims conjecture in the case of almost simple groups.
We give an alternative proof for the Mathai-Quillen formula for a Thom form using its natural behaviour with respect to fiberwise integration. We also study this phenomenon in general context.
We introduce an elementary argument to the theory of distribution of sequences modulo one.
We present a short and self-contained proof of the choosability version of Brooks' theorem.
We give a new proof of Brooks' theorem that immediately implies a strengthening of Brooks' theorem, known as Catlin's theorem.
The purpose of this short note is to present a simplified proof of Serre's modularity conjecture using the strong modularity lifting results currently available. This second version includes extra details on definitions and proofs than the…
We sketch several proofs of F\'ary--Milnor theorem.
We present a simpler way than usual to deduce the completeness theorem for the second-oder classical logic from the first-order one. We also extend our method to the case of second-order intuitionistic logic.
In this note, we give a proof of the famous theorem of M. Morse dealing with the cancellation of a pair of non-degenerate critical points of a smooth function. Our proof consists of a reduction to the one-dimensional case where the question…
We prove the Aharoni Berger Conjecture
We show that an elementary proof of Fermat's Last Theorem (FLT) exists. Our paper also extends the scope of FLT from integers to all rational numbers.