J Austral Math Soc Ser A 44 pp129--137, 1988.

Non-Complemented Open Sets in Effective Topology

Philip Hingston

(Received 29 March 1985; revised 30 January 1987)

Abstract

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 AMS Subject Classification: 03D45, 54A05

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Authors

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

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Last Modified: Wed Feb 19 10:27:48 2003