A locally connected rim-countable continuum which is the continuous image of no arc
From MaRDI portal
Publication:1183648
DOI10.1016/0166-8641(91)90034-JzbMath0766.54033MaRDI QIDQ1183648
Jacek Nikiel, Edward D. Tymchatyn, H. Murat Tuncali
Publication date: 28 June 1992
Published in: Topology and its Applications (Search for Journal in Brave)
Continua and generalizations (54F15) Continuous maps (54C05) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Topological spaces of dimension (leq 1); curves, dendrites (54F50)
Related Items (6)
Continuous images of linearly ordered continua and compacta ⋮ Continuous images of arcs: extensions of Cornette's theorem ⋮ An example of a nonarcwise connected rim-countable locally connected continuum ⋮ A Rim-Metrizable Continuum ⋮ Lifting paths on quotient spaces ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two nonmetric locally connected continua
- Some rational continua
- On the rim-structure of continuous images of ordered compacta
- The Hahn-Mazurkiewicz theorem for hereditary locally connected continua
- Concerning continua which are continuous images of compact ordered spaces
- Images of ordered compacta are locally peripherally metric
- Remarks on the Claytor imbedding theorem
- Topological characterization of the Sierpiński curve
- On the Hahn-Mazurkiewicz Theorem in Nonmetric Spaces
- Images of arcs - a nonseparable version of the Hahn-Mazurkiewicz theorem
- "Image of a Hausdorff Arc" is Cyclically Extensible and Reducible
- Mapping an arc onto a dendritic continuum
- Mapping arcs and dendritic spaces onto netlike continua
- The Hahn-Mazurkiewicz theorem for rim-finite continua
- The Hahn-Mazurkiewicz theorem for finitely Suslinian continua
- Analogues of Treybig's Product Theorem
This page was built for publication: A locally connected rim-countable continuum which is the continuous image of no arc