Dieudonné_plank

Dieudonné plank

Dieudonné plank

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

  1. [1]
    Barr, Michael; Kennison, John; Rafael, R. (2009). "Searching for More Absolute CR-epic Spaces" (PDF). Theory and Applications of Categories. 22 (3): 54–76.
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