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Subjects
54-XX General topology
54Fxx Special properties
54F50 Spaces of dimension $\leq 1$ ; curves, dendrites

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Ultrasmoothness in dendroids

Isabel Puga, Miriam Torres (2008)

Colloquium Mathematicae

The class of ultrasmooth dendroids is contained in the class of smooth dendroids and contains the class of locally connected dendroids. In this paper we study relationships between ultrasmoothness and smoothness in dendroids and we characterize ultrasmooth dendroids.

Universal completely regular dendrites

K. Omiljanowski, S. Zafiridou (2005)

Colloquium Mathematicae

We define a dendrite $E_{n}$ which is universal in the class of all completely regular dendrites with order of points not greater than n. In particular, the dendrite $E_{ω}$ is universal in the class of all completely regular dendrites. The construction starts with the standard universal dendrite $D_{n}$ of order n described by J. J. Charatonik.

Universal maps of Cartesian products

W. Holsztyński, R. Strube (1980)

Fundamenta Mathematicae

Universal rational spaces [Book]

J. C. Mayer, E. D. Tymchatyn (1990)

Universalmengen bezüglich der Lage im $E^{n}$

H. Bothe (1964)