Related papers: Protometrics
Some examples and basic properties of ultrametric spaces are briefly discussed.
We introduce extremely symmetric primes and provide some elementary properties of these.
These informal notes deal with some basic properties of metric spaces, especially concerning lengths of curves.
We give an elementary introduction to the theory of supermembranes.
We discuss some basic properties of the Sibony functions and pseudometrics.
In this paper, we study various properties of matroidal ideals.
We review definitions and basic properties of operads, PROPs and algebras over these structures.
These lectures are a brief introduction to supersymmetry.
The Jacobian algebras are introduced and their various properties are studied.
We give an elementary introduction to our papers relating the geometry of rational homogeneous varieties to representation theory. We also describe related work and recent progress.
A number of topics involving metrics and measures are discussed, including some of the special structure associated with ultrametrics.
We study some topological properties of attractors.
This is a brief introduction to the basic concepts of topology. It includes the basic constructions, discusses separation properties, metric and pseudometric spaces, and gives some applications arising from the use of topology in computing.
In this chapter, a statistical measure of complexity is introduced and some of its properties are discussed. Also, some straightforward applications are shown.
In this article, we introduce the concept of lexicographic metric space and, after discussing some basic properties of these metric spaces, such as completeness, boundedness, compactness and separability, we obtain a formula for the metric…
This paper gives a short introduction into the metric theory of spaces with dilations.
Some key notions of line geometry are recalled, along with their application to mechanics. It is then shown that most of the basic structures that one introduces in the pre-metric formulation of electromagnetism can be interpreted directly…
The question in the title is discussed briefly, with emphasis on a few basic examples and their properties.
We provide an introduction to the old-standing problem of isometric immersions. We combine a historical account of its multifaceted advances, which have fascinated geometers and analysts alike, with some of the applications in the…
This paper introduces the concept of metric ideals in AL-monoids. We also examine the structure of AL-monoids and describe some of the properties of homomorphism and fundamentalisomorphism theorems.Additionaly we introduce and examine a…