کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661042 1344397 2008 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On certain properties of the spaces of order-preserving functionals
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On certain properties of the spaces of order-preserving functionals
چکیده انگلیسی

In the present paper it is proved that the functor Oτ of τ-smooth order preserving functionals and the functor OR of Radon order preserving functionals, do not change the weight of infinite Tychonoff spaces. It is shown that the density and the weak density of infinite Tychonoff spaces do not increase under these functors. Moreover, if X is a metric space with the second axiom of countability then the spaces Oτ(X) and OR(X) are also metrizable.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 16, 1 October 2008, Pages 1792-1799