finite component cover
Last-modified: 2010-09-01 (水) 21:44:47
Let V be the subset family of a topological space X. A finite sequence is called a chain iff for every . The family is called connected iff for every W, U in V, there is a chain from W to U. A maximal connected subfamily of V is called component. A star-finite open cover of X is called finite componet cover iff the number of elements of each component is finite.
D. Buhagiar and T. Miwa, On superparacompact and Lindeloef GO-spaces, Houston J. Math. Vol.24, No.3, 1998.