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Somewhere locally flat codimension one manifolds with 1-ULC complements are locally flat. (English) Zbl 0297.57009


MSC:

57N45 Flatness and tameness of topological manifolds
57N15 Topology of the Euclidean \(n\)-space, \(n\)-manifolds (\(4 \leq n \leq \infty\)) (MSC2010)
57N30 Engulfing in topological manifolds
57N35 Embeddings and immersions in topological manifolds
57Q30 Engulfing
57Q35 Embeddings and immersions in PL-topology
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