کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4659242 1633118 2012 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Topological group cohomology with loop contractible coefficients
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Topological group cohomology with loop contractible coefficients
چکیده انگلیسی

We show that for topological groups and loop contractible coefficients the cohomology groups of continuous group cochains and of group cochains that are continuous on some identity neighbourhood are isomorphic. Moreover, we show a similar statement for compactly generated groups and Lie groups holds and apply our results to different concepts of group cohomology for finite-dimensional Lie groups.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 159, Issues 10–11, 15 June–1 July 2012, Pages 2627-2634