There is a nontrivial gap in
the proof of Theorem 5.2
of {bennettboosleig00} which is one of the main
results of that paper and has been applied three times (cf.
[Theorem 5.3, (G) in Section 6, Theorem 6.4]{bennettboosleig00}).
Till now neither the gap has been closed
nor a counterexample
found. The aim of this paper is to give,
by means of some general results,
a better understanding of the gap. The proofs that the
applications hold will be
given elsewhere.
Keywords:
there nontrivial gap proof theorem bennettboosleig which main results paper has applied three times theorem section theorem bennettboosleig neither gap has closed nor counterexample found paper means general results better understanding gap proofs applications given elsewhere
Affiliations des auteurs :
Johann Boos 
1
;
Toivo Leiger 
2
1
Fachbereich Mathematik FernUniversität in Hagen 58084 Hagen, Germany
2
Puhta Matemaatika Instituut Tartu Ülikool EE 50090 Tartu, Estonia
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author = {Johann Boos and Toivo Leiger},
title = {Addendum to: {
{\textquotedblleft}Sequences} of 0's and {1's{\textquotedblright}
(Studia} {Math.} 149 (2002), 75{\textendash}99)},
journal = {Studia Mathematica},
pages = {305--309},
year = {2005},
volume = {171},
number = {3},
doi = {10.4064/sm171-3-7},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm171-3-7/}
}
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“Sequences of 0's and 1's”
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“Sequences of 0's and 1's”
(Studia Math. 149 (2002), 75–99)
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Johann Boos; Toivo Leiger. Addendum to:
“Sequences of 0's and 1's”
(Studia Math. 149 (2002), 75–99). Studia Mathematica, Tome 171 (2005) no. 3, pp. 305-309. doi: 10.4064/sm171-3-7