کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516358 | 1344016 | 2005 | 33 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
On the 2-primary v1-periodic homotopy groups of spaces
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
We develop foundations of a general approach for calculating p-primary v1-periodic homotopy groups of spaces using their p-adic KO-cohomologies and K-cohomologies with particular attention to the case p=2. As a main application, we derive a method for calculating v1-periodic homotopy groups of simply connected compact Lie groups using their complex, real, and quaternionic representation theories. This method has been applied very effectively by Davis in recent work. We rely heavily on the v1-stabilization functor Φ1 from spaces to spectra. Roughly speaking, we obtain the p-primary v1-periodic homotopy of a space X from the p-adic KO-cohomology of Φ1X, which we obtain from the p-adic KO-cohomology and K-cohomology of X by a v1-stabilization process under suitable conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 44, Issue 2, March 2005, Pages 381-413
Journal: Topology - Volume 44, Issue 2, March 2005, Pages 381-413
نویسندگان
A.K. Bousfield,