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Here are equivalent characterizations of real trees which can be used as definitions: 1) (similar to trees as graphs) A real tree is a geodesic metric space which contains no subset homeomorphic to a circle. [1] 2) A real tree is a connected metric space (,) which has the four points condition [2] (see figure):
The film was chosen by the National Board of Review as one of the top ten films of 2011 and was a candidate for numerous awards, winning, among others, the Academy Award for Best Film Editing, [4] while Mara's performance earned her a nomination for the Academy Award for Best Actress at the 84th Academy Awards.
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