Foundations of point set theory / R. L. MooreType de document : MonographieCollection : Colloquium publications, 13Langue : anglais.Pays: Etats Unis.Mention d'édition: revised editionÉditeur : Providence : American Mathematical Society, 1962Description : 1 vol. (XI-419 p.) : glossaire ; 26 cmISBN: 9780821810132.ISSN: 0065-9258.Bibliographie : Bibliogr. p. 382-416. Index.Sujet MSC : 54-01, Introductory exposition (textbooks, tutorial papers, etc.) pertaining to general topologyEn-ligne : Zentralblatt | MathSciNet | AMS Item type: Monographie
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... This edition is relatively free from error. But of course there are some. These are mostly, as far as I can see, of a trivial, easily corrected, nature, specifically: substitute M for S in Theorem 19 (p. 8); require the point sets of the countable collection in Theorem 56 (p. 23) to be compact; substitute Q for 2 in the line just above the definition on page 72; add "containing P'' to end the second sentence in the proof of Theorem 166 (p. 73); i of line 6 of Example 5 (p. 108) should be j; 0A should be 0 in line 5 of Example 9 (p. 111); the last M in Theorem 55 (p. 115) should be N; Theorem 91 (p. 136) needs the hypothesis of Theorem 90; substitute T for B in line 3 of Theorem 18 (p. 173); in the first line of page 189 CD should be CF; delete "in M'' at the end of Theorem 53 (p. 202). The non-trivial errors in the first edition, insofar as I had noted them, have been eliminated. The style of writing while precise is not as terse as has become customary. Several welcome passages of comment (some new to this edition) have been tucked away here and there throughout the book, particularly in connection with examples. There is an added preface in which the author lists several topics which he has with some regret omitted. I regret that he did not include the subject of partitioning in connection with compact continuous curves. As it stands, the work as a whole can only be described as monumental. (MathSciNet)
Bibliogr. p. 382-416. Index
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