Non-Complemented Open Sets in Effective Topology
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Notions of effective complementation in effective topological spaces are considered, and several types of non-complemented sets are constructed. While there are parallels with recursively enumerable sets, some unexpected differences appear. Finally, a pair of splitting theorems is proved. 1980 Mathematics subject classification (Amer. Math. Soc): 03 D 45, 54 A 05.
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