Decreasing (G) spaces
Stares, Ian
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 809-817 / Harvested from 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.

Publié le : 1998-01-01
Classification:  54C10,  54D70,  54E20 
@article{119055,
     author = {Ian Stares},
     title = {Decreasing (G) spaces},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {809-817},
     zbl = {1060.54508},
     mrnumber = {1715469},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119055}
}

Stares, Ian. Decreasing (G) spaces. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 809-817. http://gdmltest.u-ga.fr/item/119055/

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