المجموعة المغلقة من النمط في فضاء تبولوجي ناعم بالنسبة الى مثالي == Soft Strongly Generalized Closed Set with respect to an Ideal in Soft Topological Space
Author name:
اليسع جاسم بديوي
Supervisor name:
نرجس عبد الجبار داود
General topic:
Mathematics
Specific topic:
Topology
Degree:
Doctorate
University:
University of Baghdad
Language:
English
University location:
Baghdad
First pages:
27T1015 - p.pdf
Abstract:
In this work, we introduced and studied a new kind of soft generalized closed set in soft topological spaces with an ideal, which we called soft strongly generalized closed set with respect to an ideal where a soft subset (A,E) of a soft topological space with an ideal I, (X,τ,E) is said to be soft strongly generalized closed set with respect to an ideal I ,(briefly SSIg - closed), if cl(int(A,E)) - (B,E)∈I , whenever (A,E) (B,E) and (B,E) is soft open set. And denoted by SSIg - closed set . The complement of SSIgclosed set is called an SSIg - open set.We studied the properties of SSIg - closed set, then we used SSIg - open set to define five kinds of derived sets, which are the SSIg - interior, SSIgclosure, SSIg - derived, SSIg - border, and SSIg - boundary with their relations and properties .On the other side, we define new kinds of soft mappings between soft topological spaces, like SSIg - continuous, Contra - SSIg - continuous, SSIgopen, SSIg - closed and SSIg - irresolute mapping we studied the relations between these kinds of mappings and the composition of two mappings of the same type of two different types, with proofs or counter examples
