Geodesic
Decreasing (G) spaces
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) no. 4, pp. 809-817.

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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.
Classification : 54C10, 54D70, 54E20
Keywords: decreasing (G); decreasing (A); homogeneous; monotone normality; closed map 
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     author = {Stares, Ian},
     title = {Decreasing {(G)} spaces},
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     pages = {809--817},
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     number = {4},
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     zbl = {1060.54508},
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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/