Geodesic
A Basically Disconnected Normal Space Φ With |βΦ – Φ| = 1
Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 911-914

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All spaces considered are completely regular. C*(X) denotes the set of bounded continuous real-valued functions in X. A subspace S of X is called C*-embedded in X if for every f ∈ C*(S) there is φ ∈ C*(X) with φ⥤S = f.A space X is called almost compact if |βX – X| ≦ 1; basically disconnected if every cozero-set has open closure; extremally disconnected if every open set has open closure; an F-space if every cozero-set is C*-embedded; small if |C*(X)| = 2ω ; and weakly Lindelöf if every open cover has a subfamily with and ⋃ dense. A point p of a space X is called a P-point of X if every Gδ -set in X which contains p is a neighborhood of p.ω(X) denotes the weight of X. 
Douwen, Eric K. van. A Basically Disconnected Normal Space Φ With |βΦ – Φ| = 1. Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 911-914. doi: 10.4153/CJM-1979-086-3
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