Countable homogeneous spaces

Abstract EN

We characterize some classes of infinite countable (denumerable) homogeneous topological spaces.

We shall study two types of identifications on homogeneous topological spaces and concentrate, as special cases, on those countable spaces.

We shall prove that a regular homogeneous countable space does not have the fixed point property.

Finally, we provide some examples relevant to the results we have obtained and we also propose some problems related to our results.