$\lambda$ connectivity and mappings onto a chainable indecomposable continuum
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- by Charles L. Hagopian PDF
- Proc. Amer. Math. Soc. 45 (1974), 132-136 Request permission
Abstract:
A continuum (i.e., a compact connected nondegenerate metric space) $M$ is said to be $\lambda$ connected if any two of its points can be joined by a hereditarily decomposable continuum in $M$. Here we prove that a plane continuum is $\lambda$ connected if and only if it cannot be mapped continuously onto Knaster’s chainable indecomposable continuum with one endpoint. Recent results involving aposyndesis and decompositions to a simple closed curve are extended to $\lambda$ connected continua.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 45 (1974), 132-136
- MSC: Primary 54F20
- DOI: https://doi.org/10.1090/S0002-9939-1974-0341434-8
- MathSciNet review: 0341434