Top > weakly mildly Hausdorff
HTML convert time to 0.002 sec.


weakly mildly Hausdorff

Last-modified: 2011-11-11 (金) 17:31:34

Definition Edit

  • A topological space (X,τ) is called weakly mildly Hausdorff if its semiregularization? is R_0.

Property Edit

  • Every extremally disconnected space? is weakly mildly Hausdorff space.
  • Every weakly mildly Hausdorff and locally rc-paracompact? space is extremally disconnected?.

Example Edit

  • The Sierpinsky space? is weakly mildly Hausdorff.

Reference Edit

  • Dontchev, J.; Popvassilev, S.; Stavrova, D., On the η-expansion topology for the co-semi-regularization and mildly Hausdorff spaces., (English summary), Acta Math. Hungar. 80 (1998), no. 1-2, 9-19.