کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4661016 1633120 2008 23 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Every topological group is a group retract of a minimal group
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Every topological group is a group retract of a minimal group
چکیده انگلیسی

We show that every Hausdorff topological group is a group retract of a minimal topological group. This first was conjectured by Pestov in 1983. Our main result leads to a solution of some problems of Arhangel'skii. One of them is the problem about representability of a group as a quotient of a minimal group (Problem 519 in the first edition of ‘Open Problems in Topology’). Our approach is based on generalized Heisenberg groups and on groups arising from group representations on Banach spaces.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 155, Issues 17–18, 15 October 2008, Pages 2105-2127