Next: weak cut point Up: Definitions Previous: uniquely arcwise connected

universal

Let a class $\mathcal S$$ of spaces be given. A member

of $\mathcal S$$ is said to be universal for $\mathcal S$$ if every member of $\mathcal S$$ can be embedded in

, i.e., if for every $X \in \mathcal S$$ there exists a homeomorphism $h: X \to h(X) \subset U$$ . Accordingly, a dendrite is said to be universal if it contains a homeomorphic image of any other dendrite.

Next: weak cut point Up: Definitions Previous: uniquely arcwise connected

Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30