Open Mappings of the Universal Curve onto Continuous Curves

DOI10.2307/1996188zbMath0239.54007OpenAlexW4238017679MaRDI QIDQ5649640

David C. Wilson

Publication date: 1972

Full work available at URL: https://doi.org/10.2307/1996188

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces of dimension (leq 1); curves, dendrites (54F50)

Related Items (13)

Uniformly open mappings and uniform embeddings of function spaces ⋮ Completely regular mappings and dimension ⋮ Isotoping Mappings to Open Mappings ⋮ A combinatorial model for the Menger curve ⋮ Weakly Confluent Mappings and Finitely-Generated Cohomology ⋮ On continuous images of ultra-arcs ⋮ Base-free formulas in the lattice-theoretic study of compacta ⋮ On completeness of spaces of open mappings on continua ⋮ Covering \(\mathbb R\)-trees, \(\mathbb R\)-free groups, and dendrites ⋮ A continuous decomposition of the Menger curve into pseudo-arcs ⋮ Monotone and Open Mappings on Manifolds. I ⋮ Light Open and Open Mappings on Manifolds. II ⋮ Infinite-dimensional 4-manifold of finite cohomological dimension under the continuum hypothesis

Cites Work

• Unnamed Item
• Certain transformations which lower dimension
• A characterization of the universal curve and a proof of its homogeneity
• One-dimensional continuous curves and a homogeneity theorem
• Über offene Abbildungen
• Monotone interior dimension-raising mappings
• Continuous collections of continuous curves
• ONE-DIMENSIONAL CONTINUOUS CURVES
• OPEN MAPPINGS OF COMPACT CONTINUA
• Completely regular mappings
• Partitioning a set
• Continuous Collections of Continuous Curves in the Plane
• Partitioning continuous curves

This page was built for publication: Open Mappings of the Universal Curve onto Continuous Curves