Inscribing closed non-$\sigma$-lower porous sets into Suslin non-$\sigma$-lower porous sets
Zajíček, Luděk ; Zelený, Miroslav
Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 221-227 / Harvested from Project Euclid
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The main aim of this paper is to prove that every non- $\sigma$ -lower porous Suslin set in a topologically complete metric space contains a closed non- $\sigma$ -lower porous subset. In fact, we prove a general result of this type on “abstract porosities.” This general theorem is also applied to ball small sets in Hilbert spaces and to $\sigma$ -cone-supported sets in separable Banach spaces.
Publié le : 2005-05-25
Classification:  
@article{1122298425,
     author = {Zaj\'\i \v cek, Lud\v ek and Zelen\'y, Miroslav},
     title = {Inscribing closed non-$\sigma$-lower porous sets into Suslin
non-$\sigma$-lower porous sets},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 221-227},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1122298425}
}

Zajíček, Luděk; Zelený, Miroslav. Inscribing closed non-$\sigma$-lower porous sets into Suslin
non-$\sigma$-lower porous sets. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  221-227. http://gdmltest.u-ga.fr/item/1122298425/