Combinatorial infinite-dimensional manifolds and \({\mathbb{R}}^{\infty}\)- manifolds

DOI10.1016/0166-8641(87)90025-3zbMath0622.57011OpenAlexW2039543448MaRDI QIDQ1090980

Katsuro Sakai

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90025-3

zbMATH Keywords

triangulation\({bbfR}^{\infty }\)-manifold\(\infty \)-simplexcombinatorial \(\infty \)-manifoldscountably infinite full complexHauptvermutung for combinatorial \(\infty \)-manifoldsmanifold modelled on \({bbfR}^{\infty }\)p.l. embeddingstable Hauptvermutung

Mathematics Subject Classification ID

General topology of complexes (57Q05) Triangulating manifolds (57Q15) Topology of infinite-dimensional manifolds (57N20) Comparison of PL-structures: classification, Hauptvermutung (57Q25)

Related Items (1)

Simplicial complexes triangulating infinite-dimensional manifolds

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On \({\mathbb{R}}^{\infty}\)-manifolds and \(Q^{\infty}\)-manifolds
• On \({\mathbb{R}}^{\infty}\)-manifolds and \(Q^{\infty}\)-manifolds. II: Infinite deficiency
• Simplicial complexes triangulating infinite-dimensional manifolds
• On the topology of direct limits of ANR's
• Each R ∞ -Manifold has a Unique Piecewise Linear R ∞ -Structure

This page was built for publication: Combinatorial infinite-dimensional manifolds and \({\mathbb{R}}^{\infty}\)- manifolds