Cut Points in Čech-stone Remainders
نویسنده
چکیده
We investigate cut points of subcontinua of βR \ R. We find, under CH, the topologically smallest type of subset of R that can support such a cut point. On the other hand we answer Question 66 of Hart and van Mill’s Open problems on βω [Open Problems in Topology (J. van Mill and G. M. Reed, eds.), North-Holland, Amsterdam, 1990, pp. 97–125] by showing that it is consistent that all cut points are trivial (in a sense to be made precise
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