Smooth Dendroids as Inverse Limits of Dendrites

W. J. Charatonik

Smooth Dendroids as Inverse Limits of Dendrites

W. J. Charatonik

Missouri University of Science and Technology

Research output: Contribution to journal › Article › peer-review

Abstract

It is proved that a dendroid is smooth if and only if it can be represented as Ihe inverse limit of an inverse sequence of finite dendrites with bonding mappings which are monotone relatiye to points forming a thread. As a consequence another proof of the existence of a universal smooth dendroid [4) is obtained.

Original language	American English
Journal	Fundamenta Mathematicae
State	Published - Jan 1 1984

Disciplines

Mathematics
Statistics and Probability

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AB - It is proved that a dendroid is smooth if and only if it can be represented as Ihe inverse limit of an inverse sequence of finite dendrites with bonding mappings which are monotone relatiye to points forming a thread. As a consequence another proof of the existence of a universal smooth dendroid [4) is obtained.

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Smooth Dendroids as Inverse Limits of Dendrites

Abstract

Disciplines

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