Continuum broken symmetry and more
Charles Perry (2001)
Visual Mathematics
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Displaying similar documents to “Space-time coordinate transformations in continuum mechanics invariable equations of thermomechanics”
Continuum broken symmetry and more
On Cosserat continua
S. Drobot (1971)
Applicationes Mathematicae
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Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Non-separating subcontinua of planar continua
D. Daniel, C. Islas, R. Leonel, E. D. Tymchatyn (2015)
Colloquium Mathematicae
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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
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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.
1/2-Homogeneous hyperspace suspensions
Sergio Macías, Patricia Pellicer-Covarrubias (2012)
Colloquium Mathematicae
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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 indecomposability and composants of chaotic continua
Hisao Kato (1996)
Fundamenta Mathematicae
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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 . 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 . Clearly, every expansive homeomorphism is continuum-wise expansive, but the converse assertion is not true. In [6], we defined the notion of chaotic continua...
On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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On decompositions of hereditarily smooth continua
T. Maćkowiak (1977)
Fundamenta Mathematicae
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The set function T and homotopies
J. J. Charatonik (1978)
Colloquium Mathematicae
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On the depth of a continuum
P. Spyrou (1992)
Matematički Vesnik
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Continua and their non-separating subcontinua
D. E. Bennett, J. B. Fugate
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CONTENTSIntroduction......................................................................................................................................... 5Preliminaries...................................................................................................................................... 6Chapter I. Basic types and properties of non-separating continua......................................... 7 Terminal and end continua............................................................................................................