On composants of solenoids.

de Man, Ronald

Displaying similar documents to “On composants of solenoids.”

An Exactly Two-to-One Map from an Indecomposable Chainable Continuum

Jerzy Krzempek (2004)

Bulletin of the Polish Academy of Sciences. Mathematics

Similarity:

It is shown that a certain indecomposable chainable continuum is the domain of an exactly two-to-one continuous map. This answers a question of Jo W. Heath.

Continua which cannot be mapped onto any nonplaner circle-like continuum

George W. Henderson (1971)

Colloquium Mathematicae

Similarity:

A chainable continuum not homeomorphic to an inverse limit on [0, 1] with only one bonding map

Dorothy S. Marsh (1980)

Colloquium Mathematicae

Similarity:

Chainable continua and homeomorphisms of the plane onto itself

Mirosław Sobolewski (1984)

Fundamenta Mathematicae

Similarity:

On indecomposability and composants of chaotic continua

Hisao Kato (1996)

Fundamenta Mathematicae

Similarity:

A homeomorphism f:X → X of a compactum X with metric d is expansive if there is c > 0 such that if x,y ∈ X and x ≠ y, then there is an integer n ∈ ℤ such that $d (f^{n} (x), f^{n} (y)) > c$ . A homeomorphism f: X → X is continuum-wise expansive if there is c > 0 such that if A is a nondegenerate subcontinuum of X, then there is an integer n ∈ ℤ such that $d i a m i f^{n} (A) > c$ . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua...

1/2-Homogeneous hyperspace suspensions

Sergio Macías, Patricia Pellicer-Covarrubias (2012)

Colloquium Mathematicae

Similarity:

We continue the study of 1/2-homogeneity of the hyperspace suspension of continua. We prove that if X is a decomposable continuum and its hyperspace suspension is 1/2-homogeneous, then X must be continuum chainable. We also characterize 1/2-homogeneity of the hyperspace suspension for several classes of continua, including: continua containing a free arc, atriodic and decomposable continua, and decomposable irreducible continua about a finite set.

On Cosserat continua

S. Drobot (1971)

Applicationes Mathematicae

Similarity:

Whitney properties

J. Krasinkiewicz, Sam Nadler (1978)

Fundamenta Mathematicae

Similarity:

Irreducibility of inverse limits on intervals

David Ryden (2000)

Fundamenta Mathematicae

Similarity:

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 internal composants of indecomposable plane continua

J. Krasinkiewicz (1974)

Fundamenta Mathematicae

Similarity:

On the hyperspaces of snake-like and circle-like continua

J. Krasinkiewicz (1974)

Fundamenta Mathematicae

Similarity:

No arc-connected treelike continuum is the 2-to-1 image of a continuum

Jo Heath, Van C. Nall (2003)

Fundamenta Mathematicae

Similarity:

In 1940, O. G. Harrold showed that no arc can be the exactly 2-to-1 continuous image of a metric continuum, and in 1947 W. H. Gottschalk showed that no dendrite is a 2-to-1 image. In 2003 we show that no arc-connected treelike continuum is the 2-to-1 image of a continuum.

Continua which admit no mean

K. Kawamura, E. Tymchatyn (1996)

Colloquium Mathematicae

Similarity:

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.