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Compactness and connectedness as composable properties
Published online by Cambridge University Press: 09 April 2009
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In [5] Magill showed that compactness is a composable property of Hausdorff spaces. (That is, if α,β are compact subsets of X × X, then α ○ β is also compact when X is T2.) Also Magill gave an example to show that the composition of connected relations need not be connected. Subsequently, he characterized Hausdorff k-spaces in terms of the semigroup of compact relations in X.
- Type
- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 18 , Issue 2 , September 1974 , pp. 161 - 169
- Copyright
- Copyright © Australian Mathematical Society 1974
References
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