کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4660240 1344357 2008 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Dissipated compacta
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Dissipated compacta
چکیده انگلیسی

The dissipated spaces form a class of compacta which contains both the scattered compacta and the compact LOTSes (linearly ordered topological spaces), and a number of theorems true for these latter two classes are true more generally for the dissipated spaces. For example, every regular Borel measure on a dissipated space is separable.The standard Fedorčuk S-space (constructed under ⋄) is dissipated. A dissipated compact L-space exists iff there is a Suslin line.A product of two compact LOTSes is usually not dissipated, but it may satisfy a weakening of that property. In fact, the degree of dissipation of a space can be used to distinguish topologically a product of n LOTSes from a product of m LOTSes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issue 4, 1 January 2008, Pages 282-303