In this paper, we introduce the concept of interval valued (α, β)-fuzzy subnear-rings and ideal of near-rings, where α, β any two of the {∈, q,∈ ∨q,∈ ∧q} with α 6=∈ ∧q, by using belongs to relation ∈ and quasi-coincidence with relation q between interval valued fuzzy points and interval valued fuzzy sets. We also discussed some characterizations of interval valued (α,∈ ∨q)-fuzzy ideals(subnear-...

We use the notion of uniform measure equivalence to prove that the Novikov-Shubin invariants resp. the capacities of amenable groups are invariant under quasi-isometry. Further, we comment on the connection to Gaboriau’s theorem on the invariance of L-Betti numbers under orbit equivalence.

The concept of quasi-coincidence of an interval valued fuzzy set is considered. By using this idea, the notion of interval valued (α, β)−fuzzy sub-implicative ideals of BCIalgebras is introduced, which is a generalization of a fuzzy sub-implicative ideal. Also some related properties are studied and in particular, the interval valued (∈,∈ ∨q)−fuzzy subimplicative ideals in a BCI-algebra will be...

Abstract. This paper retakes previous work of the authors, about the relationship between non–quasi–competitiveness (the increase in price caused by an increase in the number of oligopolists) and stability of the equilibrium in the classical Cournot oligopoly model. Though it has been widely accepted in the literature that the loss of quasi–competitiveness is linked, in the long run as new firm...

It is shown that pointwise convergence of a sequence (An)n∈N of copulas to a copula A is equivalent (1) to the convergence of the corresponding endographs, and (2) to the convergence of the corresponding upper (or lower) α-levels for all but at most countably many α in [0, 1] (all with respect to the Hausdorff metric). Examples are given that show that the countably many exceptions in (2) can n...

In the present paper, we introduce and discuss the notion of monodromically full points of configuration spaces of hyperbolic curves. This notion leads to complements to M. Matsumoto’s result concerning the difference between the kernels of the natural homomorphisms associated to a hyperbolic curve and its point from the Galois group to the automorphism and outer automorphism groups of the geom...

We give a completely algebraic proof of the Bogomolov-Tian-Todorov theorem. More precisely, we shall prove that if X is a smooth projective variety with trivial canonical bundle defined over an algebraically closed field of characteristic 0, then the L∞-algebra governing infinitesimal deformations of X is quasi-isomorphic to an abelian differential graded Lie algebra.

for all x ∈ X . Quasi-isometries occur naturally in the study of the geometry of discrete groups since the length spaces on which a given finitely generated group acts cocompactly and properly discontinuously by isometries are quasi-isometric to one another [Gro]. Quasi-isometries also play a crucial role in Mostow’s proof of his rigidity theorem: the theorem is proved by showing that equivaria...

We show that S-arithmetic lattices in semisimple Lie groups with no rank one factors are quasi-isometrically rigid.

DISCLAIMER: Everything that follows is of a preliminary nature. We give a new invariant for finitely generated groups, called the girth. Several results which indicate that the girth of a group might possibly be a quasi-isometry invariant are proved. We also compute the girth in several instances and speculate on the relation of girth to the growth of groups.