engleski

Computable subcontinua of semicomputable chainable Hausdorff continua

In the setting of computable topological spaces, we consider semicomputable, chainable Hausdorff continua. If such a continuum S is decomposable, it can be computably approximated ; more precisely, for every open cover U, there exist two computable points a, b and a computable subcontinuum S' that is chainable from a to b and is U-close to S.

Computable topological space ; Computable set ; Semicomputable set ; Chainable continuum ; Decomposable continuum

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