A theorem on planar continua and an application to automorphisms of the field of complex numbers

DOI10.1016/0166-8641(85)90093-8zbMath0572.12007OpenAlexW1999378249MaRDI QIDQ1062097

Forest W. Simmons, Robert R. Kallman

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90093-8

zbMATH Keywords

continuous automorphismscomplex number fieldplanar continuapositive inductive dimension

Mathematics Subject Classification ID

Continua and generalizations (54F15) Dimension theory in general topology (54F45) Transcendental field extensions (12F20) Real and complex fields (12D99)

Related Items (5)

Connected and disconnected fields ⋮ Product commuting maps with the \(\lambda\)-Aluthge transform ⋮ Jordan product maps commuting with the \(\lambda\)-Aluthge transform ⋮ Unnamed Item ⋮ The continuity of additive and convex functions which are upper bounded on non-flat continua in \(\mathbb R^n\)

Cites Work

• An example of a non-closed connected subgroup of the two-dimensional vector space
• Corrections to the papers "An example of a locally unbounded complete extension of the p-adic number field and "On topological fields (Colloquium Mathematicum 30 (1974), p. 105--108, and 29 (1974), p. 119--146)
• On the Measurability of Orbits in Borel Actions
• On Subfields of Countable Codimension
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