A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-hausdorff Space

@inproceedings{Fell2010AHT,
  title={A Hausdorff Topology for the Closed Subsets of a Locally Compact Non-hausdorff Space},
  author={John Me Fell},
  year={2010}
}
In the structure theory of C*-algebras an important role is played by certain topological spaces X which, though locally compact in a certain sense, do not in general satisfy even the weakest separation axiom. This note is concerned with the construction of a compact Hausdorff topology for the space G(X) of all closed subsets of such a space X. This construction occurs naturally in the theory of C*algebras; but, in view of its purely topological nature, it seemed wise to publish it apart from… CONTINUE READING
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