Geodesic
Absolutes of~topological spaces and their continuous maps
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 5, pp. 138-154

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The paper contains a survey of the basic results obtained in recent years on the theme described in the title. In particular, in the first section general questions concerning the existence of absolutes for arbitrary topological spaces and continuous maps are considered. The third and fourth sections contain a large number of old and new problems about extremally disconnected spaces and co-absoluteness classes. 
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     author = {V. I. Ponomarev and L. B. Shapiro},
     title = {Absolutes of~topological spaces and their continuous maps},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
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     number = {5},
     year = {1976},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_1976_31_5_a12/}
}
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V. I. Ponomarev; L. B. Shapiro. Absolutes of~topological spaces and their continuous maps. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 31 (1976) no. 5, pp. 138-154. http://geodesic.mathdoc.fr/item/RM_1976_31_5_a12/