On the consistency of the generalized continuum hypothesis
L. Rieger
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Displaying similar documents to “Cantor's Continuum Hypothesis: consequences in mathematics and its foundations”
On the consistency of the generalized continuum hypothesis
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.
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.
Induced open projections and C*-smoothness
Włodzimierz J. Charatonik, Alejandro Illanes, Verónica Martínez-de-la-Vega (2013)
Colloquium Mathematicae
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We show that there exists a C*-smooth continuum X such that for every continuum Y the induced map C(f) is not open, where f: X × Y → X is the projection. This answers a question of Charatonik (2000).
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.
Continua which cannot be mapped onto any nonplaner circle-like continuum
George W. Henderson (1971)
Colloquium Mathematicae
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On Cosserat continua
S. Drobot (1971)
Applicationes Mathematicae
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Expansive collections of continua
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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On internal composants of indecomposable plane continua
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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On finitely equivalent continua.
Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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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 composants of Hausdorff continua
M. Proffitt (1971)
Fundamenta Mathematicae
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