حنان علي حسين الشباني

Abstract: In this search some related generalized sets of bIg-open, bIg-closed sets in ideal topological space are introduced, the relationship between these sets are introduce and some of properties are studied.

Abstract: Let V be an   dimension vector space over the real or complex numbers. An arrangement A is a finite collection  A M A V H    H of co-dimension one subspaces. Let ( ) be the complement .In this work we use the face poset  (A) of A to construct the homotopy type ofM(A) .More specifically, we would like to know the homotopy properties of M(A)which are relate to various other well-known properties of arrangement ,precisely when M(A) is a K( ,1) -space.

In this research we advance a modern class of space called regular locally somewhat connected space and regular strongly locally somewhat connected space, and prove that every regular strongly locally somewhat connected space is regular locally somewhat connected.

" The Statistical studying in our work to complet first work ( first paper – in first references), which includes statistical calculations for studying of microbial behavior on many bacteria and effect of our biochemical compounds against resistant of bacteria, effect of imine derivatives on DNA and wall of bacteria cell through diameter of inhibition (mm) as parameter of activity, effect of types of subsititution which linked with ether, nitro,amide,imine,carboxyl,ketone groups in structures of compounds on bacteria.

Abstract:- In this paper we advance and investigate a modern class of sets called compactly supra b-closed sets and compactly supra b-k-closed sets, and prove that every compactly supra b-k-closed set is compactly supra b-closed set in any supra topological space, and the converse is true if X is supra -space.

In this paper ,we have dealt with the concepts of fuzzy generalized b- irresolute (in short fgb-irresolute ),fuzzy strongly generalized b-compact (in short fstg-b-compact ) and fuzzy generalized b-continuous (in short fgb-continuous ) functions , and find that every fgb-irresolute function is fgb-continuous and the converse is not true in general .We have also remember the concept of fuzzy -space ( f -space ) and we have proved that every fuzzy generalized b-compact ( in short fgb-compact ) subset of an f -space is fuzzy generalized b-closed ( in short fgb-closed ) , and if isn’t f - space , then need not that every fgb-compact set is fgb-closed . Finally we defined compactly fuzzy generalized b-closed ( in short compactly fgb-closed ) set and proved that every fgb-closed subset of a space is compactly fgb-closed .