On the depth of a continuum

P. Spyrou

The search session has expired. Please query the service again.

Displaying similar documents to “On the depth of a continuum”

On Cosserat continua

S. Drobot (1971)

Applicationes Mathematicae

Similarity:

A characterization of hereditarily decomposable snake-like continua

L. Mohler (1973)

Colloquium Mathematicae

Similarity:

Cylinders over λ-dendroids have the fixed point property

Roman Mańka (2002)

Fundamenta Mathematicae

Similarity:

It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].

On decompositions of hereditarily smooth continua

T. Maćkowiak (1977)

Fundamenta Mathematicae

Similarity:

Non-separating subcontinua of planar continua

D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)

Colloquium Mathematicae

Similarity:

We revisit an old question of Knaster by demonstrating that each non-degenerate plane hereditarily unicoherent continuum X contains a proper, non-degenerate subcontinuum which does not separate X.

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 and their non-separating subcontinua

D. E. Bennett, J. B. Fugate

Similarity:

CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end 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.