Geodesic
Universal spaces with filtration
Trudy Instituta matematiki, Tome 17 (2009) no. 2, pp. 76-83 
Z. N. Silayeva. Universal spaces with filtration. Trudy Instituta matematiki, Tome 17 (2009) no. 2, pp. 76-83. http://geodesic.mathdoc.fr/item/TIMB_2009_17_2_a7/
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     author = {Z. N. Silayeva},
     title = {Universal spaces with filtration},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2009_17_2_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

We prove the existence of universal space for metric spaces with filtration. This universal space is a filtered absolute extensor. In the category of metric spaces with filtration the analog of Dugundji's theorem about linear spaces with filtration is established and the question about the coincidence of absolute retracts and extensors is resolved.

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