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Evans, Michael J. ; Humke, Paul D. ; Saxe, Karen
Symmetric porosity of symmetric Cantor sets. (English). Czechoslovak Mathematical Journal, vol. 44 (1994), issue 2, pp. 251-264
MSC: 26A03, 26A21, 28A05, 28A99 | MR 1281021 | Zbl 0814.26003 | DOI: 10.21136/CMJ.1994.128468
References:
[1] M. J. Evans: Some theorems whose $\sigma $-porous exceptional sets are not $\sigma $-symmetrically porous. Real Anal. Exch. 17 (1991–92), 809–814. DOI 10.2307/44153777 | MR 1171425
[2] M. J. Evans, P. D. Humke, and K. Saxe: A symmetric porosity conjecture of L. Zajíček. Real Anal. Exch. 17 (1991–92), 258–271. DOI 10.2307/44152206 | MR 1147367
[3] M. J. Evans, P. D. Humke, and K. Saxe: A characterization of $\sigma $-symmetrically porous symmetric Cantor sets. Proc. Amer. Math. Soc (to appear). MR 1205490
[4] P. D. Humke: A criterion for the nonporosity of a general Cantor set. Proc. Amer. Math. Soc. 111 (1991), 365–372. DOI 10.1090/S0002-9939-1991-1039532-9 | MR 1039532 | Zbl 0723.26002
[5] P. D. Humke and B. S. Thompson: A porosity characterization of symmetric perfect sets. Classical Real Analysis, AMS Contemporary Mathematics 42 (1985), 81–86. DOI 10.1090/conm/042/807980 | MR 0807980
[6] M. Repický: An example which discerns porosity and symmetric porosity. Real Anal. Exch. 17 (1991–92), 416–420. DOI 10.2307/44152222 | MR 1147383
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