Geodesic
On the Local Connectedness of βX-X
Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 591-594

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Let X be any completely regular Hausdorff topological space, and let βX denote its Stone-Čech compactification. This note is devoted to proving the following result:5. THEOREM. Let X be realcompact and noncompact. Then βX—X is not connected im kleinen at any point. 
Woods, R. Grant. On the Local Connectedness of βX-X. Canadian mathematical bulletin, Tome 15 (1972) no. 4, pp. 591-594. doi: 10.4153/CMB-1972-102-5
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