On contractible dendroids

J. J. Charatonik; C. A. Eberhart

Displaying similar documents to “On contractible dendroids”

Homotopy properties of curves

Janusz Jerzy Charatonik, Alejandro Illanes (1998)

Commentationes Mathematicae Universitatis Carolinae

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Conditions are investigated that imply noncontractibility of curves. In particular, a plane noncontractible dendroid is constructed which contains no homotopically fixed subset. A new concept of a homotopically steady subset of a space is introduced and its connections with other related concepts are studied.

Bend sets, $N$ -sequences, and mappings.

Charatonik, Janusz J., Illanes, Alejandro (2004)

International Journal of Mathematics and Mathematical Sciences

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Concerning a closed subset of a dendroid containing 2-ramification points

Jerry F. Williams (1973)

Colloquium Mathematicae

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On 2-ramification points of a dendroid

Jerry F. Williams (1972)

Colloquium Mathematicae

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A characterization of smoothness in dendroids

L. Mohler (1970)

Fundamenta Mathematicae

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Arc property of Kelley and absolute retracts for hereditarily unicoherent continua

Janusz J. Charatonik, Włodzimierz J. Charatonik, Janusz R. Prajs (2003)

Colloquium Mathematicae

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We investigate absolute retracts for hereditarily unicoherent continua, and also the continua that have the arc property of Kelley (i.e., the continua that satisfy both the property of Kelley and the arc approximation property). Among other results we prove that each absolute retract for hereditarily unicoherent continua (for tree-like continua, for λ-dendroids, for dendroids) has the arc property of Kelley.