Locally Contractible Spaces That are Absolute Neighborhood Retracts

DOI10.2307/2038681zbMath0263.54008OpenAlexW4240996216MaRDI QIDQ5679433

William E. Haver

Publication date: 1973

Full work available at URL: https://doi.org/10.2307/2038681

Mathematics Subject Classification ID

Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55) Absolute neighborhood retracts (55M15)

Related Items (17)

The compact Z-set property in convex sets ⋮ Cardinal-indexed classifying spaces for families of subgroups of any topological group ⋮ Linear Spaces, Absolute Retracts, and the Compact Extension Property ⋮ Margulis lemma and Hurewicz fibration theorem on Alexandrov spaces ⋮ The Role of Countable Dimensionality in the Theory of Cell-Like Relations ⋮ On Haver's theorem in the category of filtered metric spaces ⋮ On the Space of Piecewise Linear Homeomorphisms of a Manifold ⋮ Describing topology on the set of persistence diagrams ⋮ Construction of ANR topologies on certain groups ⋮ Michael's problem and weakly infinite-dimensional spaces ⋮ Some classes of weakly infinite-dimensional spaces ⋮ On a theorem of Jaworowski on locally equivariant contractible spaces ⋮ On Hyperspaces of Polyhedra ⋮ Hyperspaces of compact sets in metric linear spaces ⋮ A selection theorem for \(C\)-spaces ⋮ Unnamed Item ⋮ Pure strategy Nash equilibrium points and the Lefschetz fixed point theorem

Cites Work

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• Some theorems on absolute neighborhood retracts
• The Space of All Self-Homeomorphisms of a Two-Cell which Fix the Cell's Boundary is an Absolute Retract
• The Space of Homeomorphisms on a Compact Two-Manifold is an Absolute Neighborhood Retract
• On Spaces of Homeomorphisms, Embeddings, and Functions, II: The Piecewise Linear Case

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