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discretely orthocompact

Last-modified: 2010-12-30 (木) 22:09:31

Definition Edit

A topological space is called discretely orthocompact provided that, whenever D is a discrete family of closed subsets of X and for each F in D, U_F is an open set containing F, there exists an interior preserving? open family imgtex.fcgi?%5bres=100%5d%7b$%5c%7bV_F:F%5cin%5cmathcal%7bD%7d%5c%7d$%7d%25.png such that imgtex.fcgi?%5bres=100%5d%7b$F%5csubset%20V_F%5csubset%20U_F$%7d%25.png for each F in D.

Reference Edit

  • H.J.K. Junnila, Covering properties and quasi-uniformities of topological spaces, Ph.D. Thesis, Virginia Polytechnic Institute and State University, Blacksburg (1978).
  • Hans-Peter Kunzi and Peter Fletcher, Some Questions Related to Almost 2-Fully Normal Spaces, Rocky Mountain J. Math. Vol.15 (Nov. 1985).