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homogeneous

Let $\mathfrak{M}$$ be a class of mappings. A space

is said to be homogeneous with respect to $\mathfrak{M}$$ (or shortly $\mathfrak{M}$$ -homogeneous) provided that for every two points

and

there is a surjective mapping $f: X \to X$$ such that

and $f \in \mathfrak{M}$$ . If $\mathfrak{M}$$ is the class of homeomorphisms, we get the concept of a homogeneous space.

Next: HU-terminal Up: Definitions Previous: hereditarily unicoherent

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