کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661526 1344433 2007 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On one-point connectifications
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
On one-point connectifications
چکیده انگلیسی

In the first part of this note we explore the relationship between connectibility and cohesiveness, including showing that the concepts do not coincide in the class of totally disconnected spaces. We introduce the concept of strong cohesion which fits between cohesion and connectibility. Several examples demonstrate the sharpness of the obtained results. In the second part of this note we investigate when certain one-point connectifications have the fixed point property. In particular, we prove this property for the canonical one-point connectification of Erdős space. This result was claimed earlier in the literature but was withdrawn recently.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 3, 1 February 2007, Pages 725-733