We obtain the further properties of quasi Mcontinuous functions which were introduced and investigated in order to establish the unified theory for several variations of quasi-continuity between bitopological spaces.

In this paper, it is aimed to construct two different dynamical systems on the Sierpinski tetrahedron. To end, we consider a quotient space of $\{ 0,1,2,3 \}^{\mathbb{N}}$ by using code representations points Finally, compare periodic investigate topological conjugacy these and conclude that they are not topologically equivalent.

in this paper, we discuss the equivalent conditions of pretopological and topological $l$-fuzzy q-convergence structures and define $t_{0},~t_{1},~t_{2}$-separation axioms in $l$-fuzzy q-convergence space. {furthermore, $l$-ordered q-convergence structure is introduced and its relation with $l$-fuzzy q-convergence structure is studied in a categorical sense}.

Given a probability measure on finitely generated group, its Martin boundary is way to compactify the group using Green's function of corresponding random walk. We give complete topological characterization supported walks relatively hyperbolic groups with virtually abelian parabolic subgroups. In particular, in case nonuniform lattices real space H n , we show that coincides CAT (0) truncated ...

We obtain the further characterizations and properties of weakly open functions in bitopological spaces due to Jelić [5]. AMS Mathematics Subject Classification (2000): 54C10, 54E55

This paper introduces a new approach to represent logic functions in the form of Sierpinski Gaskets. The structure of the gasket allows to manipulate with the corresponding logic expression using recursive essence of fractals. Thus, the Sierpinski gasket’s pattern has myriad useful properties which can enhance practical features of other graphic representations like decision diagrams. We have c...

The paper is focused on how chaotic patterns, occurring in nature, might be used by biological 7 organisms to perform computations. This issue is investigated in the context of neural systems. As a simple model of chaotic patterns, the world of Sierpinski triangles is analysed. The paper 9 introduces the Sierpinski basis functions and the Sierpinski brain, which is able to perform classi)cation...

In this paper an algorithm is presented to store and process fully adaptive computational grids requiring only a minimal amount of memory. The adaptive grid is specified by a recursive bisection of triangular grid cells. The cells are stored and processed in an order specified by the Sierpinski space-filling curve. A sophisticated system of stacks is used to ensure cache-efficient access to the...