کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4660504 | 1344372 | 2007 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Equivariant homotopical homology with coefficients in a Mackey functor
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Let M be a Mackey functor for a finite group G. In this paper, generalizing the Dold–Thom construction, we construct an ordinary equivariant homotopical homology theory with coefficients in M, whose values on the category of finite G-sets realize the bifunctor M, both covariantly and contravariantly. Furthermore, we extend the contravariant functor to define a transfer in the theory for G-equivariant covering maps. This transfer is given by a continuous homomorphism between topological abelian groups.We prove a formula for the composite of the transfer and the projection of a G-equivariant covering map and characterize those Mackey functors M for which that formula has an expression analogous to the classical one.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 154, Issue 15, 1 August 2007, Pages 2826-2848
Journal: Topology and its Applications - Volume 154, Issue 15, 1 August 2007, Pages 2826-2848