Abstract

A continuum X X is proven to be absolutely C โˆ— {C^*} -smooth if and only if each compactification Y Y of the half line [ 0 , โˆž ) [0,\infty ) with remainder X X has the property that the space of all subcontinua of Y Y is a compactification of the space of all subcontinua of [ 0 , โˆž ) [0,\infty ) .

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