کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659492 1344326 2012 5 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Monotone normality and neighborhood assignments
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Monotone normality and neighborhood assignments
چکیده انگلیسی

We prove that every neighborhood assignment for a monotonically normal space has a kernel which is homeomorphic to some subspace of an ordinal. As a corollary, every monotone neighborhood assignment for a monotonically normal space has a discrete kernel, which gives a partial answer to a question posed in Buzyakova et al. (2007) [5]. We also give an example of a regular space which has a neighborhood assignment with no kernels homeomorphic to any subspace of an ordinal.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issue 3, 15 February 2012, Pages 603-607