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monotonically paracompact

Last-modified: 2010-08-14 (土) 09:45:48

Definition Edit

  • A space X is monotonically paracompact if one can assign to each open cover U a star-re nement μ(U) such that V refines U implies μ(V) refines μ(U).

Reference Edit

  • Gruenhage, Gary, Metrizable spaces and generalizations., Hušek, Miroslav (ed.) et al., Recent progress in general topology II. Based on the Prague topological symposium, Prague, Czech Republic, August 19-25, 2001. Amsterdam: Elsevier. 201-225 (2002).