On a-strongly q-continuity, aq-openness and (a,q)-closed graphs in topological spaces
Author
Source
al- Rafidain Journal of Computer Sciences and Mathematics
Issue
Vol. 4, Issue 1 (30 Jun. 2007), pp.41-56, 16 p.
Publisher
University of Mosul College of Computer Science and Mathematics
Publication Date
2007-06-30
Country of Publication
Iraq
No. of Pages
16
Main Subjects
Abstract AR
درس Chae و آخرون سنة 1995 مفهومين -strongly -continuous function و closed graph- (, ) الهدف من هذا البحث هو دراسة مجموعة من المميزات و الخواص للمفهومين.
و كذلك تعريف نوع جديد من الدالة المفتوحة من النمط -، و تكون هذه الدالة أقوى من الدالة من النمط quasi -open و من ثم أقوى من strongly -open، و هكذا حصلنا على مجموعة من الميزات و الخواص لهذه الدالة.
و هذا يوضح أن الرسم البياني لدالة f هو closed graph- (, ) إذا و فقط إذا كان لكل fiter base في فضاء X متقاربة من النمط إلى بعض نقاط p في X بحيث أن () f متقاربة من النمط إلى بعض نقاط q في Y يحقق q = (p) f.
Abstract EN
Chae et.
al.
(1995) have studied the concept of a-strongly q-continuous functions and (a, q)-closed graph.
The aim of this paper is to investigate several new characterizations and properties of a-strongly q-continuous functions and (a, q)-closed graph.
Also, we define a new type of functions called aq-open functions, which is stronger than quasi a-open and hence strongly a-open, and we obtain some characterizations and properties for it.
It is shown that the graph of f, G (f) is (a, q)-closed graph if and only if for each filter base Y in X q-converging to some p in X such that f (Y) a-converges to some q in Y holds, f (p) = q.
American Psychological Association (APA)
Abd al-Jabbar, Abd Allah M.. 2007. On a-strongly q-continuity, aq-openness and (a,q)-closed graphs in topological spaces. al- Rafidain Journal of Computer Sciences and Mathematics،Vol. 4, no. 1, pp.41-56.
https://search.emarefa.net/detail/BIM-340675
Modern Language Association (MLA)
Abd al-Jabbar, Abd Allah M.. On a-strongly q-continuity, aq-openness and (a,q)-closed graphs in topological spaces. al- Rafidain Journal of Computer Sciences and Mathematics Vol. 4, no. 1 (2007), pp.41-56.
https://search.emarefa.net/detail/BIM-340675
American Medical Association (AMA)
Abd al-Jabbar, Abd Allah M.. On a-strongly q-continuity, aq-openness and (a,q)-closed graphs in topological spaces. al- Rafidain Journal of Computer Sciences and Mathematics. 2007. Vol. 4, no. 1, pp.41-56.
https://search.emarefa.net/detail/BIM-340675
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 54-56
Record ID
BIM-340675
