The aim of this paper is to continue the study of (τ1, τ2) ∗-semi star generalized closed sets by introducing the concepts of (τ1, τ2) ∗-semi star generalized locally closed sets and study their basic properties in bitopological spaces. Keywords—(τ1, τ2) ∗-semi star generalized locally closed sets, τ1τ2-semi star generalized closed sets, (τ1, τ2) ∗-semi generalized locally closed sets, (τ1, τ2)...

We investigate conditions under which a co-computably enumerable closed set in a computable metric space is computable and prove that in each locally computable computable metric space each co-computably enumerable compact manifold with computable boundary is computable. In fact, we examine the notion of a semi-computable compact set and we prove a more general result: in any computable metric ...

In this paper, we have dealt with the concept of fuzzy b-closed and fuzzy bcompact set, and we study the characterization of fuzzy b-compact set by using fuzzy filterbases. We consider some relations between the fuzzy b-compact space and fuzzy b-closed space. Finally, the concept of bounded and semi bounded operators between fuzzy normed space are studied and some immediate results are also pro...

The concept of a preopen set in a topological space was introduced by H. H. Corson and E. Michael in 1964 [3]. A subset A of a topological space (X, τ) is called preopen or locally dense or nearly open if A ⊆ Int(Cl(A)). A set A is called preclosed if its complement is preopen or equivalently if Cl(Int(A)) ⊆ A. The term, preopen, was used for the first time by A. S. Mashhour, M. E. Abd El-Monse...

Each closed oriented 3-manifoldM is naturally associated with a set of integersD(M), the degrees of all self-maps on M . D(M) is determined for each torus bundle and torus semi-bundle M . The structure of torus semi-bundle is studied in detail. The paper is a part of a project to determine D(M) for all 3-manifolds in Thurston’s picture.

D. Molodtsov (1999) [1] introduced the concept of a soft set as a new approach for modeling uncertainties. Xiao et al. [7] and Pei and Miao [8] discussed the relationship between soft sets and information systems. They showed that soft sets are a class of special information systems. So it’s important to study the structures of soft sets for information systems. Shabir and Naz(2011) [20], studi...

the identity of dead is an essential part of post-mortem examination. the identification of unknown human remnants begins with the creation of an anthropological profile, which includes sex, biological age, stature and individualizing features. the estimation of age at death is based on the bodily biological changes that occur throughout life. closure of spheno occipital synchondrosis is one of...