Related papers: Around Quillen's theorem A

In the current note, we present a new, short proof of the famous AM-GM-HM inequality using only induction and basic calculus.

In this note we prove an equivariant version of a result of Cartan for equivariant simplicial cohomology with local coefficients.

A new construction, with more visible canonical features, of a qKdV equation in a q-Virasoro context is exhibited.

The assumptions needed to prove Cox's Theorem are discussed and examined. Various sets of assumptions under which a Cox-style theorem can be proved are provided, although all are rather strong and, arguably, not natural.

We give a new proof of the theorem of Kronecker-Weber based on Kummer theory and Stickelberger's theorem.

In this paper, we formulate and prove several variants of the Erd\H{o}s-Tur\'{a}n additive bases conjecture.

The first version of this paper gave another proof of the Kropholler Conjecture, which gives a relative version of Stallings Ends Theorem, following an earlier incorrect proof. It has been pointed out by Sam Shepherd that the the second…

We prove a local version of the Mazur-Ulam theorem.

We give a rigorous proof for the linear stability of the Skyrmion. In addition, we provide new proofs for the existence of the Skyrmion and the GGMT bound.

We provide new sufficient conditions under which Ryser's conjecture holds.

One of the variants to proof the generalized Ito-Wentzell's formula is introduced and examined in this paper. The relationship between different representations of the generalized Ito-Wentzell's formula/ is considered.

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

In this note we give a detailed proof of a theorem of Aubin.

We state and prove a new closure theorem closely related to the classical closure theorems of Poncelet and Steiner. Along the way, we establish a number of theorems concerning conic sections.

This paper presents a proof of Gallai's Theorem, adapted from A. Soifer's presentation in The Mathematical Coloring Book of E. Witt's 1952 proof of Gallai's Theorem.

We study a variant of algebraic K-theory and prove that it is stable and preserves module structures.

We revisit Ahlfors theory of covering surfaces thanks to Stokes theorem.

A variation on the splitting principle

Elementary proofs of Sylvester's, Wolstenholme's, Morley's and Lehmer's congruence theorems

This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).