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Reports (Research Report) Year : 2008

Homotopy in Cat via Paths and the Fundamental Groupoid of a Category

Abstract

We construct an endofunctor of paths in the category of small category and show how to construct the standard homotopy invariants from it. We give a novel proof that the fundamental groupoid of a category is its associated universal groupoid.
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Dates and versions

inria-00347424 , version 1 (15-12-2008)

Identifiers

  • HAL Id : inria-00347424 , version 1

Cite

François Lamarche. Homotopy in Cat via Paths and the Fundamental Groupoid of a Category. [Research Report] 2008. ⟨inria-00347424⟩
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