A $\sigma$-porous set need not be $\sigma$-bilaterally porous
Nájares, R. J. ; Zajíček, Luděk
Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994), p. 697-703 / Harvested from Czech Digital Mathematics Library
Access to full text
Full (PDF)

A closed subset of the real line which is right porous but is not $\sigma$-left-porous is constructed.

Publié le : 1994-01-01
Classification:  26A03,  26A21,  26A99,  28A05,  28A55,  54H05 
@article{118711,
     author = {R. J. N\'ajares and Lud\v ek Zaj\'\i \v cek},
     title = {A $\sigma$-porous set need not be $\sigma$-bilaterally porous},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {35},
     year = {1994},
     pages = {697-703},
     zbl = {0822.26001},
     mrnumber = {1321240},
     language = {en},
     url = {http://dml.mathdoc.fr/item/118711}
}

Nájares, R. J.; Zajíček, Luděk. A $\sigma$-porous set need not be $\sigma$-bilaterally porous. Commentationes Mathematicae Universitatis Carolinae, Tome 35 (1994) pp. 697-703. http://gdmltest.u-ga.fr/item/118711/

Foran J. Continuous functions need not have $ \sigma $-porous graphs, Real Anal. Exchange 11 (1985-86), 194-203. (1985-86) | MR 0828490 | Zbl 0607.26005

Zajíček L. On $ \sigma $-porous sets and Borel sets, Topology Appl. 33 (1989), 99-103. (1989) | MR 1020986

Zajíček L. Sets of $ \sigma $-porosity and sets of $ \sigma $-porosity $(q)$, Časopis Pěst. Mat. 101 (1976), 350-359. (1976) | MR 0457731 | Zbl 0341.30026

Zajíček L. Porosity and $ \sigma $-porosity, Real Anal. Exchange 13 (1987-88), 314-350. (1987-88) | MR 0943561

Evans M.J.; Humke P.D.; Saxe K. A symmetric porosity conjecture of L. Zajíček, Real Anal. Exchange 17 (1991-92), 258-271. (1991-92) | MR 1147367