There is no Exactly k-to-1 Function from any Continuum onto [0, 1], or any Dendrite, with only Finitely Many Discontinuities

DOI10.2307/2000839zbMath0649.54006OpenAlexW4243788001MaRDI QIDQ3794867

Jo W. Heath

Publication date: 1988

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2000839

zbMATH Keywords

dendritediscontinuitiesclosed unit intervalk-to-1 function

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Real-valued functions in general topology (54C30)

Related Items (3)

k-to-1 images of dendrites ⋮ Graphs that admit 3-to-1 or 2-to-1 maps onto the circle ⋮ Continuous k-to-1 functions between complete graphs whose orders are of a different parity

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