Continuous mappings via regular open sets

Author

al-Hawari, Talal Ali

Source

Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series

Issue

Vol. 22, Issue 1 (30 Apr. 2007), pp.57-66, 10 p.

Publisher

Mutah University Deanship of Academic Research

Publication Date

2007-04-30

Country of Publication

Jordan

No. of Pages

10

Main Subjects

Mathematics

Abstract AR

إن الهدف من هذا البحث أن نقدم أصنافا جديدة من الاقترانات المتصلة و ندرسها و بالتحديد الاقترانات المتصلة من النمط المنتظم (Regularly continuous) و النمط الكامل (Fully contnuous) و ندرسها و هي الاقترانات التي لها الصورة العكسية للمجموعات المفتوحة المنتظمة (Regular open) و هي مجموعة مفتوحة منتظمة (مفتوحة، بالترتيب).

و نتحرى العلاقة بين هذه المصطلحات و تعاميم معروفة للاقترانات.

و نناقش عددا من الأوصاف و الإنشاءات لبعض الاقترانات المتصلة و بشكل خاص إنشاء للاقترانات المتصلة من النمط التام (completely continuous) و الذي أول ما ظهر في المرجع [1].

Abstract EN

The aim of this paper is to introduce the concepts of regularly continuous and fully continuous mappings as the mappings that have the preimages of regular open sets are regular open (respectively, open ).

We investigate the connections between these classes and several well-known others of generalized continuous mappings.

Several characterizations and decompositions of certain continuities are provided.

In particular, a decomposition of complete continuity, which was first introduced by Aria and Gupta [1], is also provided.

American Psychological Association (APA)

al-Hawari, Talal Ali. 2007. Continuous mappings via regular open sets. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series،Vol. 22, no. 1, pp.57-66.
https://search.emarefa.net/detail/BIM-284959

Modern Language Association (MLA)

al-Hawari, Talal Ali. Continuous mappings via regular open sets. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series Vol. 22, no. 1 (2007), pp.57-66.
https://search.emarefa.net/detail/BIM-284959

American Medical Association (AMA)

al-Hawari, Talal Ali. Continuous mappings via regular open sets. Mu'tah Journal for Research and Studies : Natural and Applied Sciences Series. 2007. Vol. 22, no. 1, pp.57-66.
https://search.emarefa.net/detail/BIM-284959

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references : p. 66

Record ID

BIM-284959