Chainable continua and homeomorphisms of the plane onto itself
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Charles L. Hagopian, Janusz R. Prajs (2005)
Fundamenta Mathematicae
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We define an unusual continuum M with the fixed-point property in the plane ℝ². There is a disk D in ℝ² such that M ∩ D is an arc and M ∪ D does not have the fixed-point property. This example answers a question of R. H. Bing. The continuum M is a countable union of arcs.
J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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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.
Donald E. Bennett (1978)
Commentationes Mathematicae Universitatis Carolinae
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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George W. Henderson (1971)
Colloquium Mathematicae
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H. Cook (1974)
Fundamenta Mathematicae
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Gordon Whyburn (1929)
Fundamenta Mathematicae
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Nell Stevenson (1972)
Fundamenta Mathematicae
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J. Krasinkiewicz (1974)
Fundamenta Mathematicae
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