next up previous contents index
Next: strongly pointwise self-homeomorphic Up: Definitions Previous: smooth (dendroid)

strongly chaotic

A nondegenerate topological space X$ is said to be strongly chaotic if for any two distinct points p$ and q$ of X$ there exist open neighborhoods U$ of p$ and V$ of q$ respectively such that no open subset of U$ is homeomorphic to any subset of V$;
next up previous contents index
Next: strongly pointwise self-homeomorphic Up: Definitions Previous: smooth (dendroid)
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30