Dieudonné Plank
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In mathematics, the Dieudonné plank is a specific
topological space In mathematics, a topological space is, roughly speaking, a Geometry, geometrical space in which Closeness (mathematics), closeness is defined but cannot necessarily be measured by a numeric Distance (mathematics), distance. More specifically, a to ...
introduced by . It is an example of a
metacompact space In the mathematical field of general topology, a topological space is said to be metacompact if every open cover has a point-finite open refinement. That is, given any open cover of the topological space, there is a refinement that is again an ...
that is not
paracompact In mathematics, a paracompact space is a topological space in which every open cover has an open Cover (topology)#Refinement, refinement that is locally finite collection, locally finite. These spaces were introduced by . Every compact space is par ...
. The notion has since been generalized (by Barr et al.) to that of an absolute CR-epic space.


References

* * Topology {{topology-stub