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Non-Complemented Open Sets in Effective Topology

Published online by Cambridge University Press:  09 April 2009

Philip Hingston
Affiliation:
Department of Mathematics Monash University Clayton, Victoria 3168, Australia
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Abstract

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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.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1988

References

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