Geodesic
The Structure of Continuous {0, 1}-Valued Functions on a Topological Product
Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 553-559

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In this paper we investigate the question of which continuous {0, 1}-valued functions on a product space admit continuous extensions to where βXα is the Stone-Čech compactification of Xa and {0, 1} denotes the two point discrete space. This problem is clearly equivalent to determining which clopen subsets of have clopen closures in . 
Broverman, S. The Structure of Continuous {0, 1}-Valued Functions on a Topological Product. Canadian journal of mathematics, Tome 28 (1976) no. 3, pp. 553-559. doi: 10.4153/CJM-1976-054-3
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