کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658991 1344298 2013 6 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
The o-Malykhin property for spaces Ck(X)
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
The o-Malykhin property for spaces Ck(X)
چکیده انگلیسی

Let X be a Tychonoff space and Ck(X) be the vector topological space of continuous real-valued functions on X with the compact open topology. The problem of characterizing Ck(X) in terms of X has interested several authors; in particular, Gruenhage and Ma for the baireness property and recently Sakai with the κ-Fréchet Urysohn property. Motivated by their works, we are interested in the o-Malykhin property for Ck(X). In this note, we will show that Ck(X) is o-Malykhin if and only if every moving off collection of non-empty compacts of X contains an infinite compact-finite collection. We will also characterize the o-Malykhin property for Ck(X) by a topological game defined on X, and we will give some related results.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 1, 1 January 2013, Pages 143-148