Projective Fraïssé limits and the pseudo-arc

DOI10.1090/S0002-9947-06-03928-6zbMath1085.03028OpenAlexW1676279040MaRDI QIDQ3378464

Trevor L. Irwin, Slawomir Solecki

Publication date: 3 April 2006

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

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-03928-6

zbMATH Keywords

pseudo-arcprojective homogeneitydual Fraïssé limitssurjective universality

Mathematics Subject Classification ID

Continua and generalizations (54F15) Topological spaces of dimension (leq 1); curves, dendrites (54F50) Applications of model theory (03C98)

Related Items (26)

The Ramsey property for Banach spaces and Choquet simplices ⋮ Stably projectionless Fraïssé limits ⋮ A combinatorial model for the Menger curve ⋮ Gowers' Ramsey theorem with multiple operations and dynamics of the homeomorphism group of the Lelek fan ⋮ Circular orders, ultra-homogeneous order structures, and their automorphism groups ⋮ The Lelek fan and the Poulsen simplex as Fraïssé limits ⋮ Katětov functors ⋮ The small index property of the Fraïssé limit of finite Heyting algebras ⋮ Fraïssé sequences: category-theoretic approach to universal homogeneous structures ⋮ Weak Fraisse categories ⋮ Set theory. Abstracts from the workshop held January 9--15, 2022 ⋮ On the conjecture of Wood and projective homogeneity ⋮ Abstract approach to finite Ramsey theory and a self-dual Ramsey theorem ⋮ Continuous curves of nonmetric pseudo-arcs and semi-conjugacies to interval maps ⋮ Large conjugacy classes, projective Fraïssé limits and the pseudo-arc ⋮ The universal minimal flow of the homeomorphism group of the Lelek fan ⋮ Fraïssé's construction from a topos-theoretic perspective ⋮ Characterising quotients of projective Fraïssé limits ⋮ The Kechris-Pestov-Todorčević correspondence from the point of view of category theory ⋮ Fences, their endpoints, and projective Fraïssé theory ⋮ Weakly almost periodic functions, model-theoretic stability, and minimality of topological groups ⋮ Some universality results for dynamical systems ⋮ Homogeneous probability measures on the Cantor set ⋮ On Mazur rotations problem and its multidimensional versions ⋮ Lelek fan from a projective Fraïssé limit ⋮ Random continuum and Brownian motion

Cites Work

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• The pseudo-arc
• Pseudo-circles and universal circularly chainable continua
• A homogeneous indecomposable plane continuum
• Concerning hereditarily indecomposable continua
• Each Homogeneous Nondegenerate Chainable Continuum is a Pseudo-Arc
• Most Maps of the Pseudo-Arc are Homeomorphisms
• Extending Homeomorphisms on the Pseudo-Arc
• Every Mapping of the Pseudo-Arc Onto Itself is a Near Homeomorphism
• A functional conception of snake-like continua
• A Note on the Pseudo-Arc

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