Equidistant Sets and their Connectivity Properties

DOI10.2307/2039763zbMath0295.50017OpenAlexW4254743174MaRDI QIDQ4048152

J. B. Wilker

Publication date: 1975

Full work available at URL: https://doi.org/10.2307/2039763

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Metric geometry (51F99) Dissections and valuations (Hilbert's third problem, etc.) (52B45) Real and complex geometry (51M99) Singular homology and cohomology theory (55N10)

Related Items (15)

When Midsets are Manifolds ⋮ Reflections on Equidistant Sets ⋮ Equidistant Sets of Conic and Line ⋮ On computable classes of equidistant sets: finite focal sets ⋮ Geodesics on regular constant distance surfaces ⋮ Towards quotient barycentric subspaces ⋮ Equidistant sets on Alexandrov surfaces ⋮ On the computation of zone and double zone diagrams ⋮ The double midset conjecture for continua in the plane ⋮ \((m, n)\)-equidistant sets in \(\mathbb{R}^{k},\mathbb{S}^{k}\), and \(\mathbb P^k\) ⋮ Equidistant Sets in Plane Triodic Continua ⋮ No continuum in \(E^ 2\) has the TMP. II: Triodic continua ⋮ Unnamed Item ⋮ On equidistant polytopes in the Euclidean space ⋮ On equidistant lines of given line configurations

Cites Work

• Sets of constant distance from a planar set
• When ε-boundaries are manifolds
• On the Level sets of a Distance Function in a Minkowski Space
• Unnamed Item

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