The fundamental groupoid as a terminal costack

Ilia Pirashvili

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arXiv · 1406.4419

The fundamental groupoid as a terminal costack

Ilia Pirashvili

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Abstract

Let $X$ be a topological space. We denote by $π_0(X)$ the set of connected components of $X$ and by $Π_1(U)$ the fundamental groupoid. In this paper we prove that for good topological spaces the assignments $U\mapstoπ_0(U)$ and $U\mapstoΠ_1(U)$ are the terminal cosheaf and costack respectively.

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Ilia Pirashvili. 2014-06-17. The fundamental groupoid as a terminal costack. https://arxiv.org/abs/1406.4419

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