Pseudo-Arcs and Connectedness in Homeomorphism Groups

DOI10.2307/2043373zbMath0525.54024OpenAlexW4238067363MaRDI QIDQ3038179

Wayne Lewis

Publication date: 1983

Full work available at URL: https://doi.org/10.2307/2043373

zbMATH Keywords

circle of pseudo-arcshomeomorphism group of the pseudo-archomogeneous chainable hereditarily indecomposable continuumno nondegenerate continuapseudo- circle

Mathematics Subject Classification ID

Continua and generalizations (54F15) Transformation groups and semigroups (topological aspects) (54H15)

Related Items (7)

Most Maps of the Pseudo-Arc are Homeomorphisms ⋮ Pseudo-contractibility of chainable continua ⋮ Every Mapping of the Pseudo-Arc Onto Itself is a Near Homeomorphism ⋮ Some aspects of dimension theory for topological groups ⋮ A note on homeo-product-minimality ⋮ Prime ends dynamics in parametrised families of rotational attractors ⋮ Continua whose homeomorphism groups are generated by arbitrarily small neighborhoods of the identity

Cites Work

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• Isotopy Galois spaces
• A homogeneous indecomposable plane continuum
• On the 2-homogeneity of Cartesian products
• On The Dimensions of Certain Spaces of Homeomorphisms
• Topological Galois spaces
• An Indecomposable Plane Continuum Which is Homeomorphic to Each of Its Nondegenerate Subcontinua

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