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Comments on Subsection 3.2.2

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Comment #1098 by Xiaofa Chen on

A stupid question: is there a naturally defined action of on ? When and are two basepoints in the same connected components of , is there a naturally defined (iso)morphism from to ?

Comment #1103 by Kerodon on

Yes, the fundamental group always acts on .

Comment #1104 by Kerodon on

Yes, for the construction determines a functor from the fundamental groupoid of to the category of group.

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  • 5 comment(s) on Chapter 3: Kan Complexes

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