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chaotic

A nondegenerate topological space X$ is said to be chaotic if for any two distinct points p$ and q$ of X$ there exist an open neighborhood U$ of p$ and an open neighborhood V$ of q$ such that no open subset of U$ is homeomorphic to any open subset of V$.
next up previous contents index
Next: circle Up: Definitions Previous: chainable
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30