Geodesic
On Ponomarev-Systems
Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 455-467

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

In this paper the relations of mappings and families of subsets are investigated in Ponomarev-systems, and the following results are obtained. (1) $f$ is a sequence-covering (resp. 1-sequence-covering) mapping iff $\mathcal{P}$ is a csf -network (resp. snf -network) of $X$ for a Ponomarev-system $(f, M, X, \mathcal{P})$; (2) $f$ is a sequence-covering (resp. 1-sequence-covering) mapping iff every $\mathcal{P}_n$ is a cs-cover (resp. wsn-cover) of$X$ for a Ponomarev-system $(f, M, X, \{\mathcal{P}_n \})$. As applications of these results, some relations between sequence-covering mappings and 1-sequence-covering mappings are discussed, and a question posed by S. Lin is answered. 
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     title = {On {Ponomarev-Systems}},
     journal = {Bollettino della Unione matematica italiana},
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     year = {2007},
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     mrnumber = {2339454},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a13/}
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Ge, Ying; Shou, Lin. On Ponomarev-Systems. Bollettino della Unione matematica italiana, Série 8, 10B (2007) no. 2, pp. 455-467. http://geodesic.mathdoc.fr/item/BUMI_2007_8_10B_2_a13/