کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4598349 1336279 2007 22 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
An operadic model for a mapping space and its associated spectral sequence
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
An operadic model for a mapping space and its associated spectral sequence
چکیده انگلیسی

Let XX and YY be simplicial sets and KK a field. In [B. Fresse, Derived division functors and mapping spaces, 2002, Preprint arXiv:math.At/0208091], Fresse has constructed an algebra model over an E∞KE∞K-operad EE for the mapping space F(X,Y)F(X,Y), whose source XX is finite, provided the homotopy groups of the target YY are finite. In this paper, we show that if the underlying field KK is the closure F¯p of the finite field FpFp and the given mapping space is connected, then the finiteness assumption of the homotopy group of YY can be dropped in constructing the EE-algebra model. Moreover, we give a spectral sequence converging to the cohomology of F(X,Y)F(X,Y) with coefficients in F¯p, whose E2E2-term is expressed via Lannes’ division functor in the category of unstable F¯p-algebra over the Steenrod algebra.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 210, Issue 2, August 2007, Pages 321–342
نویسندگان
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