| 11. | We thus take the Lie algebroid " A?! M " of the Poisson groupoid.
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| 12. | The point is that a disjoint union of groups is not a group but it is a groupoid.
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| 13. | Higgins has given a nice version of the normal form using the fundamental groupoid of a graph of groups.
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| 14. | As a more explicit example consider the Lie algebroid associated to the pair groupoid G : = M \ times M.
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| 15. | The symmetries of the fifteen puzzle form a groupoid ( not a group, as not all moves can be composed ).
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| 16. | I believe he explains both the group and groupoid ideas . talk ) 00 : 29, 3 November 2008 ( UTC)
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| 17. | Thus one has the "'fundamental groupoid "'instead of the fundamental group, and this construction is functorial.
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| 18. | Several groupoid and double groupoid representations ) and ^ tefan Odobleja; the latter is also regarded as the ideological father behind cybernetics.
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| 19. | Several groupoid and double groupoid representations ) and ^ tefan Odobleja; the latter is also regarded as the ideological father behind cybernetics.
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| 20. | In analogy, an action of a groupoid is a functor from the groupoid to the category of sets or to some other category.
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