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- W2073603585 abstract "In this paper we give some characterizations of ( s , Σ , σ )-, ( s 2 , s × σ , σ 2 )- and ( s ∞ , σ ∞ , σ f ∞ )-manifold triples under the stability condition. As an application we show that if M is a compact PL n -manifold ( n ⩾ 1, n ≠ 4 and ∂M = θ for n = 5) and H ( M ) is an ANR, then ( H(M) ∗ , H LIP (M) ∗ , H PL (M)) is an ( s , Σ , σ )-manifold triple, where H ( M ) ( H LIP ( M ) or H PL ( M )) is the group of (Lipschitz or PL) homeomorphisms of M with the compact-open topology and H(M) ∗ (H (LIP) (M) ∗ ) is the subgroup consisting of (Lipschitz) homeomorphisms approximated by PL-homeomorphisms. We also show that a triple of homeomorphism groups of the real line is an ( s ∞ , σ ∞ , σ f ∞ )-manifold triple." @default.
- W2073603585 created "2016-06-24" @default.
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- W2073603585 date "1997-04-01" @default.
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- W2073603585 title "Infinite-dimensional manifold triples of homeomorphism groups" @default.
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- W2073603585 doi "https://doi.org/10.1016/s0166-8641(96)00104-6" @default.
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