Homotopy types of one-dimensional Peano continua
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Publication:3568394
DOI10.4064/fm209-1-3zbMath1201.55002OpenAlexW1990445059MaRDI QIDQ3568394
Publication date: 11 June 2010
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/fm209-1-3
Homotopy equivalences in algebraic topology (55P10) Classification of homotopy type (55P15) Continua and generalizations (54F15) Compact (locally compact) metric spaces (54E45) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34) Homotopy groups of special types (55Q70) Homotopy groups of wedges, joins, and simple spaces (55Q20)
Related Items (21)
One-dimensional Peano continua with zero-dimensional wild part ⋮ Atomic Properties of the Hawaiian Earring Group for HNN Extensions ⋮ Cotorsion-free groups from a topological viewpoint ⋮ Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces. ⋮ Cotorsion and wild homology ⋮ Homomorphisms of fundamental groups of planar continua ⋮ Non-contractible locally connected continua with trivial homotopy groups ⋮ Making spaces wild (simply-connected case) ⋮ A countable space with an uncountable fundamental group ⋮ Fundamental groups of locally connected subsets of the plane ⋮ Homotopy type of planar Peano continua ⋮ Transfinite product reduction in fundamental groupoids ⋮ Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces ⋮ Dense products in fundamental groupoids ⋮ From uncountable abelian groups to uncountable nonabelian groups ⋮ Scattered products in fundamental groupoids ⋮ Test map characterizations of local properties of fundamental groups ⋮ Word calculus in the fundamental group of the Menger curve ⋮ Peano dimension of fundamental groups ⋮ Marked length rigidity for one-dimensional spaces ⋮ On the failure of the first Čech homotopy group to register geometrically relevant fundamental group elements
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