Geodesic
On the Projective Cover of the Stone-Čech Compactification of a Completely Regular Hausdorff Space
Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 327-331

Voir la notice de l'article provenant de la source Cambridge University Press

The main object of this paper is to give an explicit object in the study of projective covers in the category of compact Hausdorff spaces and continuous maps studied in [2] and [5]. be a projective cover of the Stone-Čech compactification βX of a completely regular Hausdorff space X. Here, it will be shown that the maximal ideal space endowed with the Stone topology of the maximal ring of quotients of the ring C(X) of all real valued continuous functions on X is homeomorphic to K. 
Park, Young Lim. On the Projective Cover of the Stone-Čech Compactification of a Completely Regular Hausdorff Space. Canadian mathematical bulletin, Tome 12 (1969) no. 3, pp. 327-331. doi: 10.4153/CMB-1969-041-9
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[1] 1. Banaschewski, B., Maximal rings of quotients of semi-simple commutative rings. Arch. Math. 16 (1965) 414–420. Google Scholar

[2] 2. Banaschewski, B., Projective covers in certain categories of topological spaces. (Unpublished manuscript.) Google Scholar

[3] 3. Fine, N., Gillman, L. and Lambek, J., Rings of quotients of rings of functions. (McGill Univ. Press, Montreal, 1965.) Google Scholar

[4] 4. Gillman, L. and Jerison, M., Rings of continuous functions. (Princeton, 1960.) Google Scholar

[5] 5. Gleason, A.M., Projective topological spaces. III. J. Math. 2 (1958) 482–489. Google Scholar

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