Related papers: A relative Toponogov comparison theorem

In this article we present Sobolev-type inequalities for the localization of pseudo-relativistic energy.

We prove an extension of the Thue-Vinogradov Lemma and show some applications. This paper is another example for the application of the polynomial method.

We obtain an analog of Shvedov theorem for convex multivariate approximation by algebras of continuous functions.

We prove a model theorem for factor maps between ergodic, infinite measure-preserving systems.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

New results on comparison of distributions of Gaussian quadratic forms are presented

We obtain a lower bound for a number of primes in tuples. As applications, we obtain a lower bound for the Romanoff type representation functions.

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

This is an expository paper discussing various versions of Khovanov homology theories, interrelations between them, their properties, and their applications to other areas of knot theory and low-dimensional topology.

In this paper we prove the theorem on freedom for relatively free Lie algebras with a single relation (analogous with the well-known result of Shirshov) and a generalized Freiheitssatz for relatively free Lie algebras (analogous with the…

We prove a result on the existence of linear forms of a given Diophantine type.

The article provides a counterexample to a conjecture by Blocki-Zwonek.

We introduce a relative notion of the 'big images and preimages'-property for random topological Markov chains. This then implies that a relative version of the Ruelle-Perron-Frobenius theorem holds with respect to summable and locally…

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

We give some Korovkin-type theorems on convergence and estimates of rates of approximations of nets of functions, satisfying suitable axioms, whose particular cases are filter/ideal convergence, almost convergence and triangular…

In this paper, we give a counter-example, in the general case, Kronecker theorem will derive contradiction. Kronecker theorem be correct after removing some conditions.

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

In this paper we prove an inequality for individual and uniform Diophantine exponents in the case of simultaneous approximation. This inequality is better than Jarnik's for small values of the uniform exponent.

Using geometric homology and cohomology we give a simple and conceptual proof of the Thom isomorphism theorem.

This is a survey recent works on topological extensions of the Tutte polynomial.