A survey of recent results on generalized manifolds

DOI10.1016/S0166-8641(00)00020-1zbMath0984.57013OpenAlexW2053682192MaRDI QIDQ5936521

John L. Bryant

Publication date: 2 May 2002

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(00)00020-1

zbMATH Keywords

transversalityembeddings

Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Generalized manifolds (57P99)

Cites Work

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• Splitting manifold approximate fibrations
• Resolutions of homology manifolds, and the topological characterization of manifolds
• An obstruction to the resolution of homology manifolds
• Shrinking cell-like decompositions of manifolds. Codimension three
• Approximate fibrations
• Transversality for homology manifolds
• Embeddings of homology manifolds in codimension \(\geq 3\)
• Transversality in generalized manifolds
• Topology of homology manifolds
• Desingularizing homology manifolds
• Piecewise linear embeddings
• Bundle Theories for Topological Manifolds
• Homotopically Stratified Sets
• The recognition problem: What is a topological manifold?
• Approximating Homotopy Equivalences by Homeomorphisms
• Homotoping ɛ-Maps to Homeomorphisms
• APPROXIMATION OF COMPACTA INEⁿIN CODIMENSION GREATER THAN TWO
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• Embeddings in generalized manifolds
• Defining the Boundary of a Homology Manifold
• General Position Theorems for Generalized Manifolds
• Shapes of compacta and ANR-systems

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