-spaces and the Wallman compactification.
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Displaying 1 – 8 of 8
The disjoint arcs property for homogeneous curves
Paweł Krupski (1995)
Fundamenta Mathematicae
The local structure of homogeneous continua (curves) is studied. Components of open subsets of each homogeneous curve which is not a solenoid have the disjoint arcs property. If the curve is aposyndetic, then the components are nonplanar. A new characterization of solenoids is formulated: a continuum is a solenoid if and only if it is homogeneous, contains no terminal nontrivial subcontinua and small subcontinua are not ∞-ods.
The generalized Schoenflies theorem for absolute suspensions
David P. Bellamy, Janusz M. Lysko (2005)
Colloquium Mathematicae
The aim of this paper is to prove the generalized Schoenflies theorem for the class of absolute suspensions. The question whether the finite-dimensional absolute suspensions are homeomorphic to spheres remains open. Partial solution to this question was obtained in [Sz] and [Mi]. Morton Brown gave in [Br] an ingenious proof of the generalized Schoenflies theorem. Careful analysis of his proof reveals that modulo some technical adjustments a similar argument gives an analogous result for the class...
The Menger curve Characterization and extension of homeomorphisms of non-locally-separating closed subsets [Book]
J. C. Mayer, Lex G. Oversteegen, E. D. Tymchatyn (1986)
The topology of the unit interval is not uniquely determined by its continuous self maps among set systems
Jiří Rosický (1974)
Colloquium Mathematicae
Topological spaces with a linear basis
Dominikus Noll (1988)
Fundamenta Mathematicae
Topologies defined by some invariant pseudodistances
Theodore Barth (1995)
Banach Center Publications
Trivial bundles and near-homeomorphisms
A. Chigogidze (1989)
Fundamenta Mathematicae
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