Inverse limit spaces defined by only finitely many distinct bonding maps
R. Jolly, James Rogers (1970)
Fundamenta Mathematicae
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Displaying similar documents to “The irreducibility of continua which are the inverse limit of a collection of Hausdorff arcs”
Inverse limit spaces defined by only finitely many distinct bonding maps
Continuum many tent map inverse limits with homeomorphic postcritical ω-limit sets
Chris Good, Brian E. Raines (2006)
Fundamenta Mathematicae
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We demonstrate that the set of topologically distinct inverse limit spaces of tent maps with a Cantor set for its postcritical ω-limit set has cardinality of the continuum. The set of folding points (i.e. points at which the space is not homeomorphic to the product of a zero-dimensional set and an arc) of each of these spaces is also a Cantor set.
A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map
Dorothy S. Marsh (1980)
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An atriodic tree-like continuum with positive span which admits a monotone mapping to a chainable continuum
James Davis, W. Ingram (1988)
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Continua which admit only the identity mapping onto non-degenerate subcontinua
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Irreducibility of inverse limits on intervals
David Ryden (2000)
Fundamenta Mathematicae
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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...
On hereditarily decomposable hereditarily equivalent non-metric continua
Lee Mohler, Lex Oversteegen (1990)
Fundamenta Mathematicae
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A hereditarily indecomposable, hereditarily non-chainable planar tree-like continuum
Lee Mohler, Lex Oversteegen (1984)
Fundamenta Mathematicae
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Whitney properties
J. Krasinkiewicz, Sam Nadler (1978)
Fundamenta Mathematicae
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Irreducible continua with degenerate end-tranches and arcwise accessibility in hyperspaces
J. Grispolakis, E. Tymchatyn (1980)
Fundamenta Mathematicae
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Continua which admit no mean
K. Kawamura, E. Tymchatyn (1996)
Colloquium Mathematicae
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A symmetric, idempotent, continuous binary operation on a space is called a mean. In this paper, we provide a criterion for the non-existence of mean on a certain class of continua which includes tree-like continua. This generalizes a result of Bell and Watson. We also prove that any hereditarily indecomposable circle-like continuum admits no mean.