A generalized $\sigma$-porous set with a small complement

Tišer, Jaroslav

Abstr. Appl. Anal., Tome 2005 (2005) no. 2, p. 535-541 / Harvested from Project Euclid

Résumé

We show that in every Banach space, there is a $g$ -porous set, the complement of which is of $\mathcal{H}^1$ -measure zero on every $C^1$ curve.

Publié le : 2005-06-30
Classification:

@article{1122298484,
     author = {Ti\v ser, Jaroslav},
     title = {A generalized $\sigma$-porous set with a small complement},
     journal = {Abstr. Appl. Anal.},
     volume = {2005},
     number = {2},
     year = {2005},
     pages = { 535-541},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1122298484}
}

Tišer, Jaroslav. A generalized $\sigma$-porous set with a small complement. Abstr. Appl. Anal., Tome 2005 (2005) no. 2, pp.  535-541. http://gdmltest.u-ga.fr/item/1122298484/