Related papers: On Serini's relativistic theorem

We prove a new theorem on additive Levy processes and show that this theorem implies several proved theorems and a hard conjectured theorem.

In this short note, we briefly discuss the Borel-Cantelli lemma and propose a new generalization of the first part of it.

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

A formula for the apparent rotation of a relativistically moving object has been known for some time, but it seems not to have been realized that this formula has a very pretty interpretation in terms of formal group laws. Version 2…

This supplementary part of the paper gr-qc 9312038 contains the necessary proofs of the claims stated in the main part.

This note gives a new elementary proof of Poincar\'e-Miranda theorem based on Sard's theorem and the simple classification of one-dimensional manifolds.

In this paper we show an index theorem for gerbes

The object of this paper is to generalize a theorem on the binomial coefficient [4] to the case in an arithmetic progression. We will also give a slightly stronger result than Langevin's [2].

We survey the classical results of the Dirichlet Approximation Theorem.

A new generalization of the classical separate algebraicity theorem is suggested and proved.

In this note we give a counterexample to a conjecture proposed by Ciliberto about special linear systems of P^n through multiple base points.

We give a short proof of Ahlfors' theorem on covering surfaces.

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 fill in a gap in the proof of the main theorem in our earlier paper [Ol]. At the same time, we prove a slightly stronger version of the theorem needed for another paper.

This is the second combinatorial proof of the compactness theorem for singular from 1977. In fact it gives a somewhat stronger theorem.

Our main theorem is an extension of the well-known Mizoguchi-Takahaashi's fixed point theorem [N. Mizogochi and W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric space, {\it J. Math. Anal. Appl.} 141 (1989)…

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

An abstract version of Galvin's lemma is proven, within the framework of the theory of Ramsey spaces. Some instances of it are explored.

In this paper we investigate some strong convergence theorems for partial sums with respect to Vilenkin system.

Torelli's theorem is proven by the study of the convolution product of the intersection cohomology sheaf of the thetadivisor.