Last-modified: 2010-07-23 (金) 23:54:33
A space X is said to be σ-totally paracompact if for every open base B of X, there exists a σ-locally finite? open covering U of X such that for each V in U, there exists A in B such that A contains V and boundary A contains boundary V.
M. K. Singal, Some Generalizations of Paracompactness, Proceedings of the Kanpur topological conference, 1968. Academia Publishing House of the Czechoslovak Academy of Sciences, Praha, 1971. pp. 245-263.