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02398nam a22003257a 4500 |
| 001 |
0044496 |
| 041 |
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|a eng
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| 100 |
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|9 363258
|a Al Faiuomy, Hanady A.
|e Author
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| 245 |
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|a On contra continuous functions in topological spaces
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| 246 |
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|a حول الدوال المتصلة المضادة
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| 260 |
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|a غزة
|c 2015
|m 1436
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| 300 |
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|a 1 - 76
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| 336 |
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|a رسائل جامعية
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| 502 |
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|b رسالة ماجستير
|c الجامعة الإسلامية (غزة)
|f كلية العلوم
|g فلسطين
|o 0135
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| 520 |
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|a 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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| 653 |
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|a الدوال
|a المساحات الطبوغرافية
|a الرياضيات
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| 700 |
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|9 363260
|a El Mabhouh, Ahmed A.
|e Advisor
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| 856 |
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|u 9808-001-009-0135-T.pdf
|y صفحة العنوان
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| 856 |
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|u 9808-001-009-0135-A.pdf
|y المستخلص
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| 856 |
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|u 9808-001-009-0135-C.pdf
|y قائمة المحتويات
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| 856 |
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|u 9808-001-009-0135-F.pdf
|y 24 صفحة الأولى
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| 856 |
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|u 9808-001-009-0135-0.pdf
|y الفصل التمهيدي
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| 856 |
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|u 9808-001-009-0135-1.pdf
|y 1 الفصل
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| 856 |
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|u 9808-001-009-0135-2.pdf
|y 2 الفصل
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| 856 |
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|u 9808-001-009-0135-3.pdf
|y 3 الفصل
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| 856 |
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|u 9808-001-009-0135-4.pdf
|y 4 الفصل
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| 856 |
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|u 9808-001-009-0135-R.pdf
|y المصادر والمراجع
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| 930 |
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|d y
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| 995 |
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|a Dissertations
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| 999 |
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|c 696881
|d 696881
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