The holonomy groupoid of a locally topological groupoid

@inproceedings{Aof1992TheHG,
  title={The holonomy groupoid of a locally topological groupoid},
  author={Mohammed A.E.-S.A.-F. Aof and Ronald Thomas Brown},
  year={1992}
}
Abstract We deal with the globalization of a topology on a subset W of a groupoid G , such that W contains the identities of G . The classical situation for groups, namely extendibility of the topology under suitable conditions, fails in general for groupoids, but the topology does, under suitable conditions, globalize to a topology on the holonomy groupoid Hol( G, W ), which maps onto G . The construction is due to J. Pradines (unpublished). Full details and proofs of the results, with some… CONTINUE READING

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