A σ -porous set need not be σ -bilaterally porous

R. J. Nájares; Luděk Zajíček

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 4, page 697-703
  • ISSN: 0010-2628

Abstract

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

How to cite

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Nájares, R. J., and Zajíček, Luděk. "A $\sigma $-porous set need not be $\sigma $-bilaterally porous." Commentationes Mathematicae Universitatis Carolinae 35.4 (1994): 697-703. <http://eudml.org/doc/247586>.

@article{Nájares1994,
abstract = {A closed subset of the real line which is right porous but is not $\sigma $-left-porous is constructed.},
author = {Nájares, R. J., Zajíček, Luděk},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {sigma-porous; sigma-bilaterally-porous; right porous; right porosity; left porosity; sigma-bilaterally porous set; closed set},
language = {eng},
number = {4},
pages = {697-703},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A $\sigma $-porous set need not be $\sigma $-bilaterally porous},
url = {http://eudml.org/doc/247586},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Nájares, R. J.
AU - Zajíček, Luděk
TI - A $\sigma $-porous set need not be $\sigma $-bilaterally porous
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 4
SP - 697
EP - 703
AB - A closed subset of the real line which is right porous but is not $\sigma $-left-porous is constructed.
LA - eng
KW - sigma-porous; sigma-bilaterally-porous; right porous; right porosity; left porosity; sigma-bilaterally porous set; closed set
UR - http://eudml.org/doc/247586
ER -

References

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  1. Foran J., Continuous functions need not have σ -porous graphs, Real Anal. Exchange 11 (1985-86), 194-203. (1985-86) Zbl0607.26005MR0828490
  2. Zajíček L., On σ -porous sets and Borel sets, Topology Appl. 33 (1989), 99-103. (1989) MR1020986
  3. Zajíček L., Sets of σ -porosity and sets of σ -porosity ( q ) , Časopis Pěst. Mat. 101 (1976), 350-359. (1976) Zbl0341.30026MR0457731
  4. Zajíček L., Porosity and σ -porosity, Real Anal. Exchange 13 (1987-88), 314-350. (1987-88) MR0943561
  5. 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) MR1147367

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