On separately approximately continuous functions
Author
Source
The Arabian Journal for Science and Engineering. D, Mathematics
Issue
Vol. 35, Issue 1D (31 May. 2010), pp.51-56, 6 p.
Publisher
King Fahd University of Petroleum and Minerals
Publication Date
2010-05-31
Country of Publication
Saudi Arabia
No. of Pages
6
Main Subjects
Abstract AR
ليكن Td توبولوجيا الكثافة في R، و لنفرض أن Tae = {A ϵ Td ; μ (A \ int (A)) = 0 }، حيث μ مقياس Lebesgue.
نثبت أن كل دالة متصلة تقريبا (Tea-متصلة) على المقاطع الأفقية و العمودية f : I2 → R (حيث (I = (0, 1)) تكون نهاية متتابعة متقاربة نقطيا من دوال Td x Td-متصلة (Tae x Tae-متصلة).
Abstract EN
Let Td be the density topology in R and let Tae = {A ∈ Td ; μ (A \ int (A)) = 0}, where μ is the Lebesgue measure.
We show that every separately approximately continuous (separately Tae-continuous) function ƒ : I2 → R, (where I = (0,1)) is the limit of a pointwise convergent sequence of (Td × Td)-continuous (Tae × Tae)-continuous) functions.
American Psychological Association (APA)
Grande, Zbigniew. 2010. On separately approximately continuous functions. The Arabian Journal for Science and Engineering. D, Mathematics،Vol. 35, no. 1D, pp.51-56.
https://search.emarefa.net/detail/BIM-546352
Modern Language Association (MLA)
Grande, Zbigniew. On separately approximately continuous functions. The Arabian Journal for Science and Engineering. D, Mathematics Vol. 35, no. 1D (May. 2010), pp.51-56.
https://search.emarefa.net/detail/BIM-546352
American Medical Association (AMA)
Grande, Zbigniew. On separately approximately continuous functions. The Arabian Journal for Science and Engineering. D, Mathematics. 2010. Vol. 35, no. 1D, pp.51-56.
https://search.emarefa.net/detail/BIM-546352
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 55
Record ID
BIM-546352
