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Aug 24, 2010 at 18:29 comment added Garabed Gulbenkian Thanks, Victor, for a very neat example which is easy to visualize and is actually a compact continuum.
Aug 24, 2010 at 1:00 comment added Bill Johnson Nice and very simple, Victor.
Aug 24, 2010 at 0:08 comment added Victor Protsak Another description of the same space: connect the origin with every point of the Cantor set on the vertical segment between $(1,0)$ and $(1,1)$ and the point $(1,0)$ with every point of the Cantor set on the vertical segment between the origin and $(0,-1)$.
Aug 23, 2010 at 22:42 history edited Victor Protsak CC BY-SA 2.5
easier example
Aug 23, 2010 at 22:01 history edited Victor Protsak CC BY-SA 2.5
cautious note
Aug 23, 2010 at 21:12 history answered Victor Protsak CC BY-SA 2.5