کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4658773 1633117 2013 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Weak covering properties and selection principles
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Weak covering properties and selection principles
چکیده انگلیسی

No convenient internal characterization of spaces that are productively Lindelöf is known. Perhaps the best general result known is Alsterʼs internal characterization, under the Continuum Hypothesis, of productively Lindelöf spaces which have a basis of cardinality at most ℵ1ℵ1. It turns out that topological spaces having Alsterʼs property are also productively weakly Lindelöf. The weakly Lindelöf spaces form a much larger class of spaces than the Lindelöf spaces. In many instances spaces having Alsterʼs property satisfy a seemingly stronger version of Alsterʼs property and consequently are productively X, where X is a covering property stronger than the Lindelöf property. This paper examines the question: When is it the case that a space that is productively X is also productively Y, where X and Y are covering properties related to the Lindelöf property.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 160, Issue 18, 1 December 2013, Pages 2251–2271
نویسندگان
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