کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4614253 1339283 2016 19 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Families of continuous retractions and function spaces
ترجمه فارسی عنوان
خانواده های بازپرداخت مداوم و تابع فضای یک ؟؟
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
چکیده انگلیسی

In this paper, we mainly study certain families of continuous retractions (r-skeletons) having some rich properties. It is shown that if the space X has a full r-skeleton, then its Alexandroff duplicate also has a full r-skeleton. In a very similar way, it is proved that the Alexandroff duplicate of a monotonically retractable space is monotonically retractable. By using monotonically retractable spaces, we solve a question posed by R.Z. Buzyakova in [7] concerning the Alexandroff duplicate of a space. The notion of q  -skeleton is introduced and it is shown that every compact subspace of Cp(X)Cp(X) is Corson when X has a full q-skeleton. The notion of strong r-skeleton is also introduced to answer a question suggested by F. Casarrubias-Segura and the second author in [8]. Certainly, it is established that a space X is monotonically Sokolov if and only if it is monotonically ω-monolithic and has a strong r-skeleton. The techniques used here allow us to give a topological proof of a result of I. Bandlow [5] who used elementary submodels and uniform spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 441, Issue 1, 1 September 2016, Pages 330–348
نویسندگان
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