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Article

Nájares, J. ; Zajíček, L.
A $\sigma$-porous set need not be $\sigma$-bilaterally porous. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 4, pp. 697-703
MSC: 26A03, 26A21, 26A99, 28A05, 28A55, 54H05 | MR 1321240 | Zbl 0822.26001
Keywords:
sigma-porous; sigma-bilaterally-porous; right porous
Summary:
A closed subset of the real line which is right porous but is not $\sigma$-left-porous is constructed.
References:
[F] Foran J.: Continuous functions need not have $ \sigma $-porous graphs. Real Anal. Exchange 11 (1985-86), 194-203. MR 0828490 | Zbl 0607.26005
[Za 1] Zajíček L.: On $ \sigma $-porous sets and Borel sets. Topology Appl. 33 (1989), 99-103. MR 1020986
[Za 2] Zajíček L.: Sets of $ \sigma $-porosity and sets of $ \sigma $-porosity $(q)$. Časopis Pěst. Mat. 101 (1976), 350-359. MR 0457731 | Zbl 0341.30026
[Za 3] Zajíček L.: Porosity and $ \sigma $-porosity. Real Anal. Exchange 13 (1987-88), 314-350. MR 0943561
[E-H-S] Evans M.J., Humke P.D., Saxe K.: A symmetric porosity conjecture of L. Zajíček. Real Anal. Exchange 17 (1991-92), 258-271. MR 1147367
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