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homogeneous

Let \mathfrak{M}$ be a class of mappings. A space X$ is said to be homogeneous with respect to \mathfrak{M}$ (or shortly \mathfrak{M}$-homogeneous) provided that for every two points p$ and q$ of X$ there is a surjective mapping f: X \to X$ such that f(p) = q$ and f
\in \mathfrak{M}$. If \mathfrak{M}$ is the class of homeomorphisms, we get the concept of a homogeneous space.
next up previous contents index
Next: HU-terminal Up: Definitions Previous: hereditarily unicoherent
Janusz J. Charatonik, Pawel Krupski and Pavel Pyrih
2001-11-30