Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 2
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M. Mcclure; R. W. Vallin. THE BOREL STRUCTURE OF THE COLLECTIONS OF SUB-SELF-SIMILAR SETS AND SUPER-SELF-SIMILAR SETS. Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2000_69_2_a1/
@article{AMUC_2000_69_2_a1,
author = {M. Mcclure and R. W. Vallin},
title = {THE {BOREL} {STRUCTURE} {OF} {THE} {COLLECTIONS} {OF} {SUB-SELF-SIMILAR} {SETS} {AND} {SUPER-SELF-SIMILAR} {SETS}},
journal = {Acta mathematica Universitatis Comenianae},
year = {2000},
volume = {69},
number = {2},
url = {http://geodesic.mathdoc.fr/item/AMUC_2000_69_2_a1/}
}
TY - JOUR
AU - M. Mcclure
AU - R. W. Vallin
TI - THE BOREL STRUCTURE OF THE COLLECTIONS OF SUB-SELF-SIMILAR SETS AND SUPER-SELF-SIMILAR SETS
JO - Acta mathematica Universitatis Comenianae
PY - 2000
VL - 69
IS - 2
UR - http://geodesic.mathdoc.fr/item/AMUC_2000_69_2_a1/
ID - AMUC_2000_69_2_a1
ER -
%0 Journal Article
%A M. Mcclure
%A R. W. Vallin
%T THE BOREL STRUCTURE OF THE COLLECTIONS OF SUB-SELF-SIMILAR SETS AND SUPER-SELF-SIMILAR SETS
%J Acta mathematica Universitatis Comenianae
%D 2000
%V 69
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2000_69_2_a1/
%F AMUC_2000_69_2_a1
We show that the sets of \su sets and \Su sets are both dense, first category, $F_\sigma$ subsets of $\Cal K(\rd)$, the Hausdorff metric space of non-empty compact, subsets of $\rd$. We also investigate the set of \se sets as a subset of the \su sets and the \Su sets.