کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
9516598 | 1344392 | 2005 | 31 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The relationship between the diagonal and the bar constructions on a bisimplicial set
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: The relationship between the diagonal and the bar constructions on a bisimplicial set The relationship between the diagonal and the bar constructions on a bisimplicial set](/preview/png/9516598.png)
چکیده انگلیسی
The aim of this paper is to prove that the homotopy type of any bisimplicial set X is modelled by the simplicial set W¯X, the bar construction on X. We stress the interest of this result by showing two relevant theorems which now become simple instances of it; namely, the Homotopy colimit theorem of Thomason, for diagrams of small categories, and the generalized Eilenberg-Zilber theorem of Dold-Puppe for bisimplicial Abelian groups. Among other applications, we give an algebraic model for the homotopy theory of (not necessarily path-connected) spaces whose homotopy groups vanish in degree 4 and higher.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 153, Issue 1, 1 August 2005, Pages 21-51
Journal: Topology and its Applications - Volume 153, Issue 1, 1 August 2005, Pages 21-51
نویسندگان
A.M. Cegarra, Josué Remedios,