On Constructive Connectedness Properties
classification
🧮 math.LO
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respectivelyciteconstructivetheoremc-connectednessconnectednesscontainingequivalent
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We plug two gaps in the constructive proof of Theorem 1 (respectively, Theorem 2) in <cite>dsb</cite>, showing that the property of C-connectedness (respectively, O-connectedness) of a subset S of R is equivalent to S containing the interval [a,b] (respectively, (a,b)) whenever a and b are in S and a < b.
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