We answer a question of Aharoni by showing that every separable metric space can be Lipschitz 2-embedded into c0 and this result is sharp; this improves earlier estimates of Aharoni, Assouad and Pelant. We use our methods to examine the best constant for Lipschitz embeddings of the classical `p-spaces into c0 and give other applications. We prove that if a Banach space embeds almost isometrical...

Asymptotic subcone of an unbounded metric space is another metric space, capturing the structure of the original space at infinity. In this paper we define a functional metric space S which is an asymptotic subcone of the hyperbolic plane. This space is a real tree branching at every its point. Moreover, it is a homogeneous metric space such that any real tree with countably many vertices can b...

A subset A of a metric space (X, d) is central iff for every Katětov map f : X → R upper bounded by the diameter of X and any finite subset B of X there is x ∈ X such that f(a) = d(x, a) for each a ∈ A ∪ B. Central subsets of the Urysohn universal space U (see introduction) are studied. It is proved that a metric space X is isometrically embeddable into U as a central set iff X has the collinea...

if we accept this idea that in talking about art, there is a chasm between thought and unthought debating on art theory in the sociohistorical context of after revolutionary iran requires at least two items in which understanding and creating art meet one another: 1) art as door separates intelligible from sensible, rational from irrational, and logos from pathos as well and 2) art as bridge no...

abstract niklas luhmann was one of the prominent thinkers in the realm of sociology and the philosophy of social sciences. his approach was a systems approach. he classified the realm of reality and its entities into four groups that consisted of: machines, organisms, psychic systems, social systems. he belonged to the second wave of systemic thought and focused on the complexity and emergence ...

an analysis of tragic structure in tragedy and friedrich schiller's view in relation to die jungfrau von orleans the present study is an analysis of the art of tragedy in the original tragedy of the eighteenth-century germany. the reasons for the glory of tragedy among other genres of drama definitely lie in its tragic structure and content. for this reason, die jungfrau von orleans, schil...

art is one of the important events of human's life and should be systematically deduced [from the islamic tradition]. the subject of art may be investigated in jurisprudence [the islamic law] in two ways: with a general view and disregarding art works, or focusing on special cases. it is important, in the general view, to deduce the first and main principle [of islam] in this regard. accor...