يجب تسجيل الدخول أولا
On contra continuous functions in topological spaces
| العنوان بلغة أخرى: |
حول الدوال المتصلة المضادة |
|---|---|
| المؤلف الرئيسي: | Al Faiuomy, Hanady A. (Author) |
| مؤلفين آخرين: | El Mabhouh, Ahmed A. (Advisor) |
| التاريخ الميلادي: |
2015
|
| موقع: | غزة |
| التاريخ الهجري: | 1436 |
| الصفحات: | 1 - 76 |
| رقم MD: | 696881 |
| نوع المحتوى: | رسائل جامعية |
| اللغة: | الإنجليزية |
| الدرجة العلمية: | رسالة ماجستير |
| الجامعة: | الجامعة الإسلامية (غزة) |
| الكلية: | كلية العلوم |
| الدولة: | فلسطين |
| قواعد المعلومات: | Dissertations |
| مواضيع: | |
| رابط المحتوى: |
عدد مرات التحميل
36
| المستخلص: |
In this thesis, we study contra continuous functions in topological spaces. We show that A function f: X → Y is contra continuous iff for each point χ ∈ X and each filter base ˄ in X convergent to χ, the filter base f(˄) is c-convergent to f(χ). Next, we introduce two independent classes of closed sets called tgr-closed sets and t*gr-closed sets. We show that the class of tgr-closed sets contains all dense sets and regular closed sets and is contained in the class of rg-closed sets and rwg-closed sets. Also, we show that the class of t*gr-closed sets contains all regular closed sets and is contained in the class of gr-closed sets and swg-closed sets. We show that these two classes are the same in a locally indiscrete space. Also, we study the topology generated by tgr-closed sets and show that the generated topology is contained in the space τ if and only if (X, τ) is tgr-locally indiscrete. Finally, we introduce and study new classes of contra continuous functions called contra tgr-continuous functions and contra t*gr-closed sets. |
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