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Generalising compactness
Authors:Hannes Diener
Institution:Mathematics and Statistics Department, University of Canterbury, Private Bag 4800, Christchurch, New Zealand
Abstract:Working within the framework of Bishop's constructive mathematics, we will show that it is possible to define compactness in a more general setting than that of uniform spaces. It is also shown that it is not possible to do this in a topological space. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Keywords:Constructive mathematics  compactness  apartness spaces
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