Locally nice codimension one manifolds are locally flat

DOI10.1090/S0002-9904-1973-13190-8zbMath0256.57005OpenAlexW1974482450MaRDI QIDQ5671399

Robert J. Daverman

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13190-8

Mathematics Subject Classification ID

Related Items (14)

When Midsets are Manifolds ⋮ Approximating codimension \(\geq 3\) \(\sigma\)-compacta with locally homotopically unknotted embeddings ⋮ Embedding Phenomena Based upon Decomposition Theory: Locally Spherical but Wild Codimension one Spheres ⋮ Topological hyperbolicity and the Coleman conjecture for diffeomorphisms ⋮ Codimension one spheres in \(R^ n\) with double tangent balls ⋮ Embeddings of surfaces in euclidean three-space ⋮ A Collaring Theorem for Codimension one Manifolds ⋮ The recognition problem: What is a topological manifold? ⋮ Cell-like mappings and their generalizations ⋮ Resolving zero-dimensional singularities in generalized manifolds ⋮ On transitive topological group actions ⋮ Unnamed Item ⋮ Embeddings of (𝑛-1)-spheres in Euclidean 𝑛-space ⋮ Singular Regular Neighborhoods and Local Flatness in Codimension One

Cites Work

• Stable homeomorphisms and the annulus conjecture
• Somewhere Locally Flat Codimension one Manifolds with 1-ULC Complements are Locally Flat
• On Homotopy Tori II
• On the triangulation of manifolds and the Hauptvermutung
• Collaring an (n - 1)-Manifold in an n-Manifold
• Unnamed Item

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