Simona Paoli

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math.AT2007★ 7 cited

Semistrict Tamsamani n-groupoids and connected n-types

Simona Paoli

Tamsamani's weak n-groupoids are known to model n-types. In this paper we show that every Tamsamani weak n-groupoid representing a connected n-type is equivalent in a suitable way…

math.AT2003

(Co)homology of crossed modules with coefficients in a $π_{1}$ -module

Simona Paoli

We define a cotriple (co)homology of crossed modules with coefficients in a $π_{1}$ -module. We prove its general properties, including the connection with the existing cotriple theor…

Semistrict Tamsamani n-groupoids and connected n-types

(Co)homology of crossed modules with coefficients in a π1​-module

(Co)homology of crossed modules with coefficients in a $π_{1}$ -module