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عنوان البحث(Papers / Research Title)


New Characterization Of Kernel Set in Topological Spaces


الناشر \ المحرر \ الكاتب (Author / Editor / Publisher)

 
لؤي عبد الهاني جبار السويدي

Citation Information


لؤي,عبد,الهاني,جبار,السويدي ,New Characterization Of Kernel Set in Topological Spaces , Time 14/12/2016 09:03:13 : كلية التربية للعلوم الصرفة

وصف الابستركت (Abstract)


In this paper we introduce a kernelled point, boundary kernelled point and derived kernelled point of a subset A of X, and using these notions to define kernel set of topological spaces. Also we introduce ????-topological space .The investigation enables us to present some new separation axioms

الوصف الكامل (Full Abstract)

In the recent papers kernel of a set A (ker?(??))of a topological space defined as the
intersection of all open superset of ??. [2],[3].
In this paper we introduce that ?? ? ?? is a kernelled point of a subset ?? of ?? (Briefly ?? ?
ker(??)) . Also we present the notions boundary kernelled point of A denoted it ?? ? ???????? (??), and ?? is
derived kernelled point of ?? denoted it ???????? (??), we obtain that the kernel of a set ?? in topological
space(??, ??) is a union of ?? itself with the set of all boundary kernelled points (Briefly ???????? (??)). Also
it is a union of ?? itself with the set of all derived kernelled points (Briefly ???????? (??)), and we gave some
result of ??0-space 1 , 2 , [4]], by using these notions.
Also in this paper we introduce kr-topological space iff kernel of a subset A of X is an open
set. Via this kind of topological space we give a new characterization of separation axioms lying
between ??0 and ??1-spaces.

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