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 Post subject: On Covering Maps
PostPosted: Wed Feb 03, 2016 10:28 pm 
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Let \( X \) and \( Y \) be topological spaces and let \( p \ \colon X \longrightarrow Y \) be a continuous map.
  1. If \( p \) is a covering map, then show that \( p \) is a local homeomorphism.
  2. Show that the converse of \( (1) \) is not true.
  3. Show that if \( p \) is a proper local homeomorphism, then \( p \) is a covering map.


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