On piecewise confluent mappings.
Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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S. Drobot (1971)
Applicationes Mathematicae
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Charatonik, Janusz J., Charatonik, Wlodzimierz J. (2000)
Publications de l'Institut Mathématique. Nouvelle Série
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George W. Henderson (1971)
Colloquium Mathematicae
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Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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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.
J. J. Charatonik (1978)
Colloquium Mathematicae
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T. Maćkowiak
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CONTENTS1. Introduction........................................................................................................ 52. Preliminaries. Special kinds of continua............................................................. 63. Classes of mappings.............................................................................................. 124. Generated classes of mappings.......................................................................... 155. General properties of...
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.
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.
Mirosław Sobolewski (1984)
Fundamenta Mathematicae
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Janusz Jerzy Charatonik (1991)
Commentationes Mathematicae Universitatis Carolinae
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Interrelations between three concepts of terminal continua and their behaviour, when the underlying continuum is confluently mapped, are studied.
Hatch, Jonathan, Stanojević, Č.V. (2003)
Publications de l'Institut Mathématique. Nouvelle Série
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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............................................................................................................
Charatonik, Janusz J., Charatonik, Włodzimierz J. (1998)
International Journal of Mathematics and Mathematical Sciences
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