Infinite-dimensional methods in finite-dimensional geometric topology

DOI10.1090/S0002-9904-1972-13086-6zbMath0256.57004OpenAlexW2140216219MaRDI QIDQ5671398

R. R. Summerhill, Ross Geoghegan

Publication date: 1972

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

Full work available at URL: https://doi.org/10.1090/s0002-9904-1972-13086-6

Mathematics Subject Classification ID

Related Items (5)

Concerning the Shapes of Finite-Dimensional Compacta ⋮ Pseudo-Boundaries and Pseudo-Interiors in Euclidean Spaces and Topological Manifolds ⋮ Cell-like mappings and their generalizations ⋮ Shape theory ⋮ A Characterization of the Connectivity of a Manifold in Terms of Large Open Cells

Cites Work

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• Taming complexes in hyperplanes
• Embeddings in the trivial range
• The ambient homeomorphy of an incomplete subspace of infinite-dimensional Hilbert spaces
• On embeddings of 1-dimensional compacta in \(E^ 5\)
• Locally tame sets are tame
• Taming codimension three embeddings
• On Embeddings of Compacta in Euclidean Space
• Strongly negligible sets in Fréchet manifolds
• Estimated extension theorem, homogeneous collections and skeletons and their applications to topological classification of linear metric spaces and convex sets
• Eine Einbettung m-dimensionaler Mengen in einen (m+ 1)- dimensionalen absoluten Retrakt
• Taming Cantor sets in 𝐸ⁿ

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