Tree-Like Continua and Exactly k-to-1 Functions

DOI10.2307/2046930zbMATH Open0664.54008OpenAlexW4243160049MaRDI QIDQ3814376

Jo Heath

Publication date: 1989

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

Full work available at URL: https://doi.org/10.2307/2046930

Mathematics Subject Classification ID

Continua and generalizations (54F15) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Foundations: limits and generalizations, elementary topology of the line (26A03)

Related Items (10)

Function space of continuous maps from Peano continuum to tree I ⋮ Tree/endofunction bijections and concentration inequalities ⋮ No arc-connected treelike continuum is the 2-to-1 image of a continuum ⋮ From continua to \(\mathbb R\)-trees ⋮ There is no Exactly k-to-1 Function from any Continuum onto [0, 1, or any Dendrite, with only Finitely Many Discontinuities] ⋮ Title not available (Why is that?) ⋮ Full-splitting Miller trees and infinitely often equal reals ⋮ Tree-like continua and 2-to-1 maps ⋮ Title not available (Why is that?) ⋮ On a relationship between countable functionals and projective trees

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