Geodesic
Screening Properties of the Subbase of all Closed Connected Subsets of a Connectedly Generated Space
Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 681-685

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In [1] de Groot has introduced the notation “connectedly generated” (or eg) for those spaces in which the closed connected sets form a subbase for the topology. He pointed out that these are the semi-locally connected spaces of Whyburn. See [5; 6].If X is cg, then, since X is closed, X is the union of a finite number of closed connected sets and, thus, has only a finite number of components. If p is any point in a eg space, and Nv is any neighbourhood of p, then the complement of Nv may be covered by a finite number of closed connected sets, none of which contain p.In [1] and in [2] the concept of “screening” is introduced and shown to be usefully related to local connectedness and construction of compactifications for completely regular spaces. We review this concept in § 2. 
Jr., J. L. Hursch. Screening Properties of the Subbase of all Closed Connected Subsets of a Connectedly Generated Space. Canadian journal of mathematics, Tome 22 (1970) no. 3, pp. 681-685. doi: 10.4153/CJM-1970-075-0
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