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Currently displaying 1 – 3 of 3

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On the continua which are Cantor homogeneous or arcwise homogeneous

K. Omiljanowski; H. Patkowska — 1990

Colloquium Mathematicae

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.

Complexity of the class of Peano functions

K. Omiljanowski; S. Solecki; J. Zielinski — 2000

Colloquium Mathematicae

We evaluate the descriptive set theoretic complexity of the space of continuous surjections from $ℝ^{m}$ to $ℝ^{n}$ .

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