کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
9516605 1344392 2005 8 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Splitting off rational parts in homotopy types
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
Splitting off rational parts in homotopy types
چکیده انگلیسی
It is known algebraically that any abelian group is a direct sum of a divisible group and a reduced group (see Theorem 21.3 of [L. Fuchs, Infinite Abelian Groups, vol. I, Academic Press, New York-London, 1970]). In this paper, conditions to split off rational parts in homotopy types from a given space are studied in terms of a variant of Hurewicz map, say ρ¯:[SQn,X]→Hn(X;Z) and generalised Gottlieb groups. This yields decomposition theorems on rational homotopy types of Hopf spaces, T-spaces and Gottlieb spaces, which has been known in various situations, especially for spaces with finiteness conditions.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 1, 1 August 2005, Pages 133-140
نویسندگان
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