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Boundaries and complements of infinite-dimensional manifolds in the model space

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Publication:1053308
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DOI10.1016/0166-8641(83)90050-0zbMath0517.57004OpenAlexW2057511164MaRDI QIDQ1053308

Katsuro Sakai

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0166-8641(83)90050-0


zbMATH Keywords

embeddingE-manifoldinfinite dimensional manifolds with the homotopy type of the n-spheremanifold modeled on a locally convex linear metric spaceZ-submanifold


Mathematics Subject Classification ID

Embeddings and immersions in topological manifolds (57N35) Topology of infinite-dimensional manifolds (57N20) Homotopy and topological questions for infinite-dimensional manifolds (58B05)





Cites Work

  • Embeddings of infinite-dimensional manifold pairs and remarks on stability and deficiency
  • On Cartesian factors and the topological classification of linear metric spaces
  • An embedding theorem of infinite-dimensional manifold pairs in the model space
  • Corrections and extensions of two papers about infinite-dimensional manifolds
  • Products of Complexes and Frechet Spaces which are Manifolds
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