Dieudonné plank
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Short description: An example of a metacompact topological space that is not paracompact.
In mathematics, the Dieudonné plank is a specific topological space introduced by Dieudonné (1944). It is an example of a metacompact space that is not paracompact.
The notion has since been generalized (by Barr et al.) to that of an absolute CR-epic space.[1]
References
- ↑ Barr, Michael; Kennison, John; Rafael, R. (2009). "Searching for More Absolute CR-epic Spaces". Theory and Applications of Categories 22 (3): 54–76. http://www.tac.mta.ca/tac/volumes/22/3/22-03.pdf.
- Dieudonné, Jean (1944), "Une généralisation des espaces compacts", Journal de Mathématiques Pures et Appliquées, Neuvième Série 23: 65–76, ISSN 0021-7824
- Steen, Lynn Arthur; Seebach, J. Arthur Jr. (1995) [1978], Counterexamples in Topology (Dover reprint of 1978 ed.), Berlin, New York: Springer-Verlag, ISBN 978-0-486-68735-3
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