Connected but not path-connected subspaces of infinite graphs

@article{Georgakopoulos2007ConnectedBN,
  title={Connected but not path-connected subspaces of infinite graphs},
  author={Agelos Georgakopoulos},
  journal={Combinatorica},
  year={2007},
  volume={27},
  pages={683-698}
}
Solving a problem of Diestel [9] relevant to the theory of cycle spaces of infinite graphs, we show that the Freudenthal compactification of a locally finite graph can have connected subsets that are not path-connected. However we prove that connectedness and path-connectedness to coincide for all but a few sets, which have a complicated structure. 
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11 Citations
Background Citations
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Methods Citations
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11 Citations

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