On a Quillen adjunction between the categories of differential graded and simplicial coalgebras

IF 0.5 4区数学

Journal of Homotopy and Related Structures Pub Date : 2018-06-30 DOI:10.1007/s40062-018-0210-x

W. Hermann B. Sore

引用次数: 1

Abstract

We prove that the normalization functor of the Dold-Kan correspondence does not induce a Quillen equivalence between Goerss’ model category of simplicial coalgebras and Getzler–Goerss’ model category of differential graded coalgebras.

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微分阶代数与简单代数范畴间的一个Quillen附接

证明了Dold-Kan对应的归一化函子不能推导出简单代数的Goerss模型范畴与微分梯度代数的Getzler-Goerss模型范畴之间的Quillen等价。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Homotopy and Related Structures Mathematics-Geometry and Topology

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期刊介绍： Journal of Homotopy and Related Structures (JHRS) is a fully refereed international journal dealing with homotopy and related structures of mathematical and physical sciences. Journal of Homotopy and Related Structures is intended to publish papers on Homotopy in the broad sense and its related areas like Homological and homotopical algebra, K-theory, topology of manifolds, geometric and categorical structures, homology theories, topological groups and algebras, stable homotopy theory, group actions, algebraic varieties, category theory, cobordism theory, controlled topology, noncommutative geometry, motivic cohomology, differential topology, algebraic geometry.