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Equivariant dendroidal sets and simplicial operads
Journal of Topology ( IF 0.8 ) Pub Date : 2022-05-29 , DOI: 10.1112/topo.12223 Peter Bonventre 1 , Luís A. Pereira 2
Journal of Topology ( IF 0.8 ) Pub Date : 2022-05-29 , DOI: 10.1112/topo.12223 Peter Bonventre 1 , Luís A. Pereira 2
Affiliation
We establish a Quillen equivalence between the homotopy theories of equivariant Segal operads and equivariant simplicial operads with norm maps. Together with previous work, we further conclude that the homotopy coherent nerve is a right-Quillen equivalence from the model category of equivariant simplicial operads with norm maps to the model category structure for equivariant--operads in equivariant dendroidal sets.
中文翻译:
等变树状集和单纯算子
我们在等变 Segal 操作数的同伦理论和具有范数映射的等变单纯操作数之间建立了 Quillen 等价。结合之前的工作,我们进一步得出结论,同伦相干神经是从具有范数映射的等变单纯算子的模型类别到等变的模型类别结构的右奎伦等价。-等变树突集中的操作数。
更新日期:2022-05-31
中文翻译:
等变树状集和单纯算子
我们在等变 Segal 操作数的同伦理论和具有范数映射的等变单纯操作数之间建立了 Quillen 等价。结合之前的工作,我们进一步得出结论,同伦相干神经是从具有范数映射的等变单纯算子的模型类别到等变的模型类别结构的右奎伦等价。-等变树突集中的操作数。