Terminal continua and the homogeneity
T. Maćkowiak (1987)
Fundamenta Mathematicae
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T. Maćkowiak (1987)
Fundamenta Mathematicae
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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.
Witold Bula (1981)
Colloquium Mathematicae
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K. Omiljanowski, H. Patkowska (1990)
Colloquium Mathematicae
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Sergio Macías (2007)
Colloquium Mathematicae
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We prove a decomposition theorem for a class of continua for which F. B.. Jones's set function 𝓣 is continuous. This gives a partial answer to a question of D. Bellamy.
S. Drobot (1971)
Applicationes Mathematicae
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Charatonik, Janusz J., Pyrih, Pavel (2000)
Mathematica Pannonica
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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.
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............................................................................................................
M. Proffitt (1971)
Fundamenta Mathematicae
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J. Krasinkiewicz (1974)
Colloquium Mathematicae
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T. Maćkowiak (1977)
Fundamenta Mathematicae
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Charatonik, Janusz J. (2003)
International Journal of Mathematics and Mathematical Sciences
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George W. Henderson (1971)
Colloquium Mathematicae
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Lončar, Ivan (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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David Ryden (2000)
Fundamenta Mathematicae
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A procedure for obtaining points of irreducibility for an inverse limit on intervals is developed. In connection with this, the following are included. A semiatriodic continuum is defined to be a continuum that contains no triod with interior. Characterizations of semiatriodic and unicoherent continua are given, as well as necessary and sufficient conditions for a subcontinuum of a semiatriodic and unicoherent continuum M to lie within the interior of a proper subcontinuum of M. ...