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- W2950804567 abstract "Let f:A-->B be a covering map. We say A has e filtered ends with respect to f (or B) if for some filtration {K_n} of B by compact subsets, A - f^{-1}(K_n) eventually has e components. The main theorem states that if Y is a (suitable) free H-space, if K < H has infinite index, and if Y has a positive finite number of filtered ends with respect to HY, then Y has one filtered end with respect to KY. This implies that if G is a finitely generated group and K < H < G are subgroups each having infinite index in the next, then 0 < {tilde e}(G)(H) < infty implies {tilde e}(G)(K) = 1, where {tilde e}(.)(.) is the number of filtered ends of a pair of groups in the sense of Kropholler and Roller." @default.
- W2950804567 created "2019-06-27" @default.
- W2950804567 creator A5091642988 @default.
- W2950804567 date "2005-12-04" @default.
- W2950804567 modified "2023-09-27" @default.
- W2950804567 title "Filtered ends of infinite covers and groups" @default.
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