Related papers: Structural Properties of ${\cal R}_2$ Part II

This is the first of two papers establishing structural properties of ${\cal R}_2$.

In this work we develop some categorical aspects of the double structure of a module.

This note is the sequel of "Geometric structures as variational objects, I." It generalizes the main result and perspectives of that work to a class of geometric structures that includes integrable almost-complex structures.

Continuing from part (I), we develop properties of real intersection theory that turns out to be an extension of the well-established theory in algebraic geometry.

The paper summarizes the construction of pairings on some standard spectral sequences in algebraic topology.

We present structural properties of two-dimensional polymers as far as they can be described by percolation theory. The percolation threshold, critical exponents and fractal dimensions of clusters are determined by computer simulation and…

The q-classical orthogonal polynomials of the q-Hahn Tableau are characterized from their orthogonality condition and by a first and a second structure relation. Unfortunately, for the q-semiclassical orthogonal polynomials (a…

This paper is concerned with analysis on metric spaces in a variety of settings and with several kinds of structure.

This is the second chapter in our "Toric Topology" book project. Further chapters are coming. Comments and suggestions are very welcome.

This article is the second in the series and is devoted to the type G_2. The work consists of two parts. In the first part we calculate the structure constants of the complex simple Lie algebra of type G_2. All structure constants are…

This paper is a short survey of the recent results on examples of periodic two-dimensional continued fractions (in Klein's model). In the last part of this paper we formulate some questions, problems and conjectures on geometrical…

In this paper, we gave some properties of binomial coefficient.

We describe the ring of modular forms of degree 2 in characteristic 2 using its relation with curves of genus 2.

Using factorization properties, we give several characterizations for an algebraic number ring to have class number 2.

Companion matrices of the second type are characterized by properties that involve bilinear maps.

The consrtuction of self-similar fuctions in $L_2[0,1]$ is described. Some properties of such funtions (boundness of variation, continuity etc.) is obtained.

We give a complete description of the qualitative behavior of the second-order rational difference equation #166. We also establish the boundedness character for the rational system in the plane #(8,30).

In this note, we find a new way to prove several properties of 2-alternating capacities.

An alternative construction, using Witt's formalism, of the Arf-invariant of quadratic forms in characteristic 2.

Structures of commuting semigroups of isometries under certain additional assumptions like double commutativity or dual double commutativity are found.