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finely paracompact

Last-modified: 2010-11-26 (金) 00:49:34

Definition Edit

A topological space is called finely paracompact if any open cover has a locally finite open refinement consisting of arcwise connected sets.

Reference Edit

Vladimir P. Okhezin, On the fixed-point theory for non-compact maps and spaces.I, Topological Methods in Nonlinear Analysis, Journal of the Juliusz Schauder Center, Volume 5, 1995, 83-100.