We characterize weak continuity of an interval order on a topological space (X, τ) by using the concept of a scale in a topological space. Mathematics Subject Classification: 06A06; 54F05; 91B16

The introduction of the Quadrilateral Area Coordinate (QAC) membrane elements has generated more heat than light on the subject of why distorted membrane elements perform very poorly. The canonical guidelines for construction of robust elements are continuity and completeness. It is known that isoparametric (or parametric) quadrilateral membrane elements satisfy the continuity requirements alwa...

Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum paretical physics in connection with string theory and E-infinity space time theory. In this paper, we study the concepts of r-fuzzy semi-I-open, r-fuzzy pre-I-open, r-fuzzy α-I-open and r-fuzzy β-I-open sets, which is properly placed between r-fuzzy openness and r-fuzzy α-I-openness (r-fuzzy pre-I-openn...

The continuity of the transverse tubules in muscle with the extracellular space is of great physiological significance. Such a continuity is difficult to demonstrate morphologically, if, as in the case in skeletal muscle of the frog and other animals, the transverse tubules are very small or, as in the case of frog slow muscle (1), the tubules are not only very small, but are few in number. Nev...

In the present paper, we have studied the analogue of some continuous functions in generalized topological space and consequently their behavior in fine topological space (cf. [18]).

We show how to combine, into one unified spline complex, C2 tensorproduct bi-cubic NURBS and G2 bi-cubic rational splines. The G2 splines are capable of exactly representing basic shapes such as (pieces of) quadrics and surfaces of revolution, including tori and cyclides. The main challenge is to bridge the differing continuity. We transform the G2 splines to splines that are C2 in homogeneous ...