The combinatorial structure of the Hawaiian earring group
From MaRDI portal
Publication:1580364
DOI10.1016/S0166-8641(99)00103-0zbMath0955.57002OpenAlexW2049710581MaRDI QIDQ1580364
James W. Cannon, Gregory R. Conner
Publication date: 1 January 2001
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0166-8641(99)00103-0
Geometric group theory (20F65) Topological methods in group theory (57M07) Fundamental group, presentations, free differential calculus (57M05) Free nonabelian groups (20E05) Fundamental groups and their automorphisms (group-theoretic aspects) (20F34)
Related Items
Atomic Properties of the Hawaiian Earring Group for HNN Extensions, Contractibility is not a strong Whitney-reversible property for locally connected continua, Cotorsion-free groups from a topological viewpoint, Fundamental groups of James reduced products, INFINITARY COMMUTATIVITY AND ABELIANIZATION IN FUNDAMENTAL GROUPS, Combinatorial \(\mathbb R\)-trees as generalized Cayley graphs for fundamental groups of one-dimensional spaces., Realizations of countable groups as fundamental groups of compacta, Generating the inverse limit of free groups, Uniform universal covers of uniform spaces, Big free groups are almost free, Archipelago groups, Milnor-Thurston homology groups of the Warsaw circle, Asymptotic cones of HNN extensions and amalgamated products., The word problem for some uncountable groups given by countable words, The fundamental group of a locally finite graph with ends, An uncountable homology group, where each element is an infinite product of commutators, The Griffiths double cone group is isomorphic to the triple, Some anomalous examples of lifting spaces, Deforestation of Peano continua and minimal deformation retracts, The number of homomorphisms from the Hawaiian earring group, Local topological properties of asymptotic cones of groups., Making spaces wild (simply-connected case), The homology of a locally finite graph with ends, On small homotopies of loops, A countable space with an uncountable fundamental group, On the Abelianization of Certain Topologist’s Products, Fundamental groups of locally connected subsets of the plane, GENERALIZED PRESENTATIONS OF INFINITE GROUPS, IN PARTICULAR OF Aut(Fω), Fundamental groups having the whole information of spaces, Geometry of compact lifting spaces, On the topological fundamental groups of quotient spaces, Trees, fundamental groups and homology groups, The space of closed subgroups of \(\mathbb R\times \mathbb Z\), Transfinite product reduction in fundamental groupoids, Atomic property of the fundamental groups of the Hawaiian earring and wild locally path-connected spaces, Quotients of uniform spaces, On the fundamental groups of one-dimensional spaces, Dense products in fundamental groupoids, On preservation of automatic continuity, Real computational universality: the word problem for a class of groups with infinite presentation, A nonaspherical cell-like 2-dimensional simply connected continuum and related constructions, Scattered products in fundamental groupoids, Unnamed Item, The homeomorphism problem for closed 3-manifolds, Uncountable groups and the geometry of inverse limits of coverings, Deeply concatenable subgroups might never be free, On the fundamental group of the Sierpiński-gasket, Test map characterizations of local properties of fundamental groups, On an extension of a theorem of Eilenberg and a characterization of topological connectedness, Fundamental groups and finite sheeted coverings, The non-Abelian Specker-group is free, Abstract homomorphisms from some topological groups to acylindrically hyperbolic groups, On the failure of the first Čech homotopy group to register geometrically relevant fundamental group elements, Free subgroups of the fundamental group of the Haiwaiian earring, Algebraic topology of Peano continua, Free and non-free subgroups of the fundamental group of the Hawaiian earrings., Free subgroups of free complete products
