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Free and based path groupoids
Angel, Andres...

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Free and based path groupoids by Angel, Andres ( Author )
Lemonjar Open Access
N.A
25-09-2015
We give an explicit description of the free path and loop groupoids in the Morita bicategory of translation topological groupoids. We prove that the free path groupoid of a discrete group acting on a topological space X is a translation groupoid given by the same group acting on the topological path space XI. We give a detailed description of based path and loop groupoids and show that both are equivalent to topological spaces. We also establish the notion of homotopy and fibration in this context.
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http://arxiv.org/abs/1509.07915
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