Houston Problem Book Problem 9

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Problem 9 (HPB): Does there exist a real curve which can be mapped onto each (weakly chainable continuum) real curve? If not, does there exist a rational curve which can be mapped onto each (weakly chainable) real curve? (Asked by A. Lelek, 09/29/71)

Answer: Delete the parentheses, weakly chainable is needed (W. Kuperberg and P. Minc, 03/28/79)