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عنوان البحث(Papers / Research Title)


Compactness and Proper Ideal


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

 
لؤي عبد الهاني جبار السويدي

Citation Information


لؤي,عبد,الهاني,جبار,السويدي ,Compactness and Proper Ideal , Time 14/12/2016 10:06:49 : كلية التربية للعلوم الصرفة

وصف الابستركت (Abstract)


In this paper we introduce relations between proper ideal and compactness

الوصف الكامل (Full Abstract)

Ideal in topological spaces have been considered since 1930. This topic won its importance by the
paper of Vaidyanathaswamy [11] and Kuratwoski [7].
Applications to various fields were further investigated by Newcomb [10], Rancin [5], Hamlett and
Jankovic [12], David A. Rose and T. R. Hamlett [3], Julian Dontchev and Maximilian Ganster [6], A.A
. Nasef and T . Noiri [1], Abd El-Monsef et al. [8], Arafa A. Nasef [2], M. K. Gupta and T. Noiri [11],
and M. K. Gupta and Rajneesh [10].
A family ?? of subsets of ?? is an ideal on ?? if (i)??, ?? ? ?? implies ?? ? ?? ? ?? (ii) ?? ? ?? and ?? ? ??
implies ?? ? ??. If (iii) ?? ? ?? then ?? is called proper ideal. In this paper we used only the proper ideal i.e.
in this paper any ideal is proper idea. Let (?? , ??) be a topological space, by ???? we will denote the open
neighborhood system at a point ?? ? ??.

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