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Currently displaying 1 – 3 of 3

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Planar rational compacta and universality

S. Iliadis; S. Zafiridou — 1992

Fundamenta Mathematicae

We prove that in some families of planar rational compacta there are no universal elements.

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.

Planar rational compacta

L. Feggos; S. Iliadis; S. Zafiridou — 1995

Colloquium Mathematicae

In this paper we consider rational subspaces of the plane. A rational space is a space which has a basis of open sets with countable boundaries. In the special case where the boundaries are finite, the space is called rim-finite.

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