Dieudonné plank
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
[edit]- ^ Barr, Michael; Kennison, John; Rafael, R. (2009). "Searching for More Absolute CR-epic Spaces" (PDF). Theory and Applications of Categories. 22 (3): 54–76.
- Dieudonné, Jean (1944), "Une généralisation des espaces compacts", Journal de Mathématiques Pures et Appliquées, Neuvième Série, 23: 65–76, ISSN 0021-7824, MR 0013297
- 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, MR 0507446
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