Dieudonné plank
{{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 {{harvs|txt|last=Dieudonné|year=1944|authorlink=Jean Dieudonné}}. 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.{{Cite journal |last1=Barr |first1=Michael |last2=Kennison |first2=John |last3=Rafael |first3=R. |date=2009 |title=Searching for More Absolute CR-epic Spaces |url=http://www.tac.mta.ca/tac/volumes/22/3/22-03.pdf |journal=Theory and Applications of Categories |volume=22 |issue=3 |pages=54–76}}
References
{{Reflist}}
- {{Citation | last1=Dieudonné | first1=Jean | author1-link=Jean Dieudonné | title=Une généralisation des espaces compacts | mr=0013297 | year=1944 | journal=Journal de Mathématiques Pures et Appliquées|series= Neuvième Série | issn=0021-7824 | volume=23 | pages=65–76}}
- {{Citation | last1=Steen | first1=Lynn Arthur | author1-link=Lynn Arthur Steen | last2=Seebach | first2=J. Arthur Jr. | author2-link=J. Arthur Seebach, Jr. | title=Counterexamples in Topology | orig-date=1978 | publisher=Springer-Verlag | location=Berlin, New York | edition=Dover reprint of 1978 | isbn=978-0-486-68735-3 | mr=507446 | year=1995}}
{{DEFAULTSORT:Dieudonne plank}}
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