On countable connected locally connected almost regular Urysohn spaces

Every Countable Regular Space Without Isolated Points is Connectifiable

“…Since the space Y # is not countable, the question which arises from the Watson's problem is the following: Can every countable regular space without isolated points be embedded densely in a countable connected Urysohn almost regular space with a dispersion point, or in a countable connected, locally connected Urysohn, almost regular space? (A space is called almost regular if it contains a dense subset at every point of which the space is regular, see [2]).…”

The connected countable spaces of Bing and Ritter are topologically homogeneous

“…The first (difficult) example of a connected countable Hausdorff space was constructed by Urysohn in [24]. For some other examples of such spaces, see [2], [4], [5], [7], [8], [9], [10], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20,Ex. 61,126], [21], [22], [23].…”