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Last-modified: 2010-08-14 (土) 10:07:39

Definition Edit

  • A topological space X is (α,β)-metacompact iff every open cover U of X of cardinality at most α has an open refinement V covering X and such that ord (x,V) < β for each x in X. (α,β are cardinal number and α≦β)

Reference Edit

  • Scott, Brian M., More about orthocompactness., Topology, Proc. Conf., Vol. 5, Birmingham/Ala. 1980, 155-184 (1981).