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absolutely paracompact

Last-modified: 2010-09-06 (月) 17:03:46

Definition Edit

A paracompact space X is called absolutely paracompact if, for every paracompact space Y where X is embedded as a closed subset, X is totally paracompact with respect to Y.

Reference Edit

R. Telgarsky and H. Kok, The space of rationals is not absolutely paracompact, Fund. Math. 73 (1971), 75-78.