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Jan 17, 2012 at 15:39 comment added Matt Brin I am not familiar with the adjective "rectifiably" so I cannot tell if your classification includes tree-like (e.g., fern pictures). You should also note that CxC is homeomorphic to C.
Oct 13, 2011 at 3:30 comment added BSteinhurst I am given to understand that such open ended questions are not encouraged on this site. To focus it you should add more information about what you intend to use this classification for and what kinds of contractions you are interested in. That said, where would you put as set that is a Cantor set cross an interval? It is not connected but also not totally disconnected.
Oct 12, 2011 at 22:04 history asked ViperRobK CC BY-SA 3.0