nLab
long line

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The long line is a line in the sense of being a 1-dimensional manifold (without boundary) that is not closed (so not a circle). However, it is not paracompact either, so it is not homeomorphic to the real line (even though it is Hausdorff).

For a construction using ordinal numbers, see Wikipedia.

Revised on March 30, 2010 22:31:03 by Anonymous Coward (78.51.85.35)
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