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F*-UZAYLARDA SÜREKLİLİĞİN BİR AYRIŞIMI VE SA* -UZAYLARDA DÖNÜŞÜMLER

A DECOMPOSITION OF CONTINUITY ON F*- SPACES AND MAPPINGS ON SA*- SPACES

Journal Name:

  • Süleyman Demirel Üniversitesi Fen Dergisi

Publication Year:

  • 2008

Key Words:

Keywords (Original Language):

Author NameUniversity of AuthorFaculty of Author
Abstract (2. Language): 
An ideal topological space (X,T,I) is said to be an F* - space if A=Cl*(A) for every open set A a X. In this paper, a decomposition of continuity on F* - spaces is introduced. An ideal topological space (X,T,I) is said to be an SA* - space if (A)*a A for every set AaX. It is shown that 8I - r - continuity (resp. pre - I - continuity, semi -8 - I - continuity, * - perfect continuity) is equivalent to R - I - continuity (resp. R - I - continuity, t - I - continuity, * - dense - in - itself continuity) if the domain is an SA* - space.
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Abstract (Original Language): 
Eğer (X, T, I) uzayının her açık A alt kümesi için A = Cl*(A) ise bu taktirde bu uzaya F* - uzay denir. Bu çalışmada, F* - uzayında sürekliliğin bir ayrışımı verildi. Eğer (X, T, I) uzayının her açık A alt kümesi için (A)*a A ise bu taktirde bu uzaya SA* -uzay denir. SA*-uzayında 8I - r -süreklilik (sırasıyla, pre-I-süreklilik, semi-I- süreklilik, * - perfect süreklilik) ile R - I - sürekliliğin (sırasıyla, R - I - süreklilik, t -I - süreklilik, kendi içinde *-yoğun süreklilik) birbirine eşdeğer olduğu gösterildi.
FULL TEXT (PDF): 
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  • 1
51-59
  • Turkish

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