Geodesic
Decreasing (G) spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 809-817 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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We consider the class of decreasing (G) spaces introduced by Collins and Roscoe and address the question as to whether it coincides with the class of decreasing (A) spaces. We provide a partial solution to this problem (the answer is yes for homogeneous spaces). We also express decreasing (G) as a monotone normality type condition and explore the preservation of decreasing (G) type properties under closed maps. The corresponding results for decreasing (A) spaces are unknown.
We consider the class of decreasing (G) spaces introduced by Collins and Roscoe and address the question as to whether it coincides with the class of decreasing (A) spaces. We provide a partial solution to this problem (the answer is yes for homogeneous spaces). We also express decreasing (G) as a monotone normality type condition and explore the preservation of decreasing (G) type properties under closed maps. The corresponding results for decreasing (A) spaces are unknown.
Classification : 54C10, 54D70, 54E20
Keywords: decreasing (G); decreasing (A); homogeneous; monotone normality; closed map 
@article{CMUC_1998_39_4_a15,
     author = {Stares, Ian},
     title = {Decreasing {(G)} spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     pages = {809--817},
     year = {1998},
     volume = {39},
     number = {4},
     mrnumber = {1715469},
     zbl = {1060.54508},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a15/}
}
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Stares, Ian. Decreasing (G) spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 809-817. http://geodesic.mathdoc.fr/item/CMUC_1998_39_4_a15/