Vopěnka, Petr

Štěpánek, Petr

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Institute of Mathematics AS CR, v. v. i.

Commentationes Mathematicae Universitatis CarolinaePetr Štěpánek; Petr VopěnkaDecomposition of metric space into nowhere dense sets: A correctionCommentationes Mathematicae Universitatis Carolinae, Vol. 8 (1967), No. 3, 567--568Persistent URL: http://dml.cz/dmlcz/105134Terms of use:© Charles University in Prague, Faculty of Mathematics and Physics, 1967Institute of Mathematics of the Academy of Sciences of the Czech Republic provides access todigitized documents strictly for personal use. Each copy of any part of this document mustcontain these Terms of use.This paper has been digitized, optimized for electronic delivery andstamped with digital signature within the project DML-CZ: The Czech DigitalMathematics Library http://project.dml.czCommentationes Mathematicae Universitatis Carolinae 8,3 (1967) A COKRECTION TO MI PAPER INTERDEPENDENCE OP WEAKENED FOHMS OF THE AXIOM OP CHOICE (Co»ment.Math«Univ#Ca!»alinae 7,3(1966), U$66),pp.359-37D T omáš JECH, Praha In the definition of the generalized principle of de-pendent choicea ( PDC (i^ ) a few words are mistakenly mis-sing (p.360). The complete text of the definition runs as follows: " Let O/ be a set and R a relation such that for every y € CJK and every g, € a (function of y into Q, ) there is .X e cu with < <ýf * > e R . Then there is a function t € 4?* with <*/*?*, -f<r) > e R for every gr c 4>A n • I apologize to the reader for this oversight. DECOMPOSITION OF METHIC SPACE IMTO NOWH^RE DENSE SETS (this Journal 8,3,pp.187-404): A correction Petr Štěpánek, Petr Vopěnka, Praha When this issue of Comment.Math.Univ.Carolinae has been alrea-dy prepe$red to předa, we háve found that in our article there is a certain oversight. The proof of Proposition 3.10 needs ^hat the fundamental systém Z *3 j i * *btj of neighbour-hoods of the diagonál in the uniformity tr is linearly ordered - 56? -by the inclusion. This assumption has to be added to the assertions 3»10f 3.11, 3«12, where this result is ušed. - 568 

Decomposition of metric space into nowhere dense sets: A correction

http://dml.cz/bitstream/handle/10338.dmlcz/105134/CommentatMathUnivCarol_008-1967-3_16.pdf

Decomposition of metric space into nowhere dense sets: A correction

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Institute of Mathematics AS CR, v. v. i.