Related papers: A short proof of Kneser's theorem via transversals

We expose here a short proof of Cramer's theorem in R based on convex duality.

We give in the present work a new methodology that allows to give isoperimetric proofs, for Kneser's Theorem and Kemperman's structure Theory and most sophisticated results of this type. As an illustration we present a new proof of Kneser's…

We show that Isserlis' theorem follows as a corollary to the invariant tensor theorem for isotropic tensors.

We give a short and relatively elementary proof of the Hilton-Milner Theorem.

We provide a simple proof of Kamp's theorem.

In this note, we combine ideas of several previous proofs in order to obtain a quite short proof of Gr\"otzsch theorem.

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

We present a short and self-contained proof of the choosability version of Brooks' theorem.

We give new proofs of some well-known results from Invariant Theorey using the Kempf-Ness theorem.

This is just a short proof of Kruskal's theorem regarding uniqueness of expressions for tensors, phrased in geometric language.

We present simple and direct proof to an important case of Nash-Moser-Ekeland theorem.

We give a purely combinatorial proof for the infinitary van der Waerden's theorem.

We propose a simple proof of the vertical half-space theorem for Heisenberg space.

In this paper, we present a short proof of Halin's grid theorem.

We give a short proof of Stein's universal multiplier theorem, purely by probabilistic methods, thus avoiding any use of harmonic analysis techniques (complex interpolation or transference methods).

We give an elementary proof to Hasse theorem.

We present a short new proof of Cobham's theorem without using Kronecker's approximation theorem, making it suitable for generalization beyond automatic sequences.

We provide a simple and short proof of the Karush-Kuhn-Tucker theorem with finite number of equality and inequality constraints. The proof relies on an elementary linear algebra lemma and the local inverse theorem.

A short, fairly self-contained proof is given of the Poincar\'e Conjecture. In the previous version there was an error on Page 8. This gap has now been filled.

The aim of this short note is to present an elementary, self-contained, and direct proof for the classical Lebesgue decomposition theorem.