The aim of this paper is to introduce the concept of generalized regular closed sets and study some of its properties . The corresponding topological space formed by the family of these sets is also studied. It may be noted that regular closed set doesn’t forms even a supra topological space. Various researchers had studied the concept of generalized closed sets and regular generalized closed s...

The topological properties of the generalized Neuwirth groups are discussed. For example, we shall demonstrate that the group ? k n is the fundamental group of the Seifert bered space | {z } n times): Moreover we discuss some other invariants and algebraic properties of the above groups.

A poset is said to be ω-chain complete if every countable chain in it has a least upper bound. It is known that every partially ordered set has a natural ω-completion. In this paper we study the ω-completion of partially ordered semigroups, and the topological action of such a semigroup on its ω-completion. We show that, for partially ordered semigroups, ω-completion and quotient with respect t...

Introduction A standard technique to process non-linear curves and surfaces in geometric systems is to approximate them in terms of a piecewise linear object (a simplicial complex). A main goal is to preserve the topological properties of the input objects. Furthermore, geometric properties, such as the position of “critical” points of the object, are often of interest. For algebraic curves and...

The aim of this paper is to introduce a further generalization of compactness in generalized topological spaces. We define and study the concept of Dμ-compact spaces in generalized topological spaces. A space(X, μ) is Dμ-compact if every Dμ-cover of X has a finite Dμ-sub cover. Basic properties and characterizations of Dμ-compact space are established. Dμ-compactness in subspaces, products of g...

A.Pushpalatha et al [11] introduced the concept of τ-g-closed set in topological spaces. S.Eswaran and A.Pushpalatha [6] introduced and studied the properties of τ-generalized continuous maps and τ-gc-irresolute maps in topological spaces. In this paper, we introduce and study a new class of maps called τ-generalized open maps and the notion of τ-generalized homeomorphism and τ-gchomeomorphism ...

We survey recent results on the topological complexity of context-free ω-languages which form the second level of the Chomsky hierarchy of languages of infinite words. In particular, we consider the Borel hierarchy and the Wadge hierarchy of non-deterministic or deterministic context-free ω-languages. We study also decision problems, the links with the notions of ambiguity and of degrees of amb...