| Record ID | marc_columbia/Columbia-extract-20221130-031.mrc:8711099:3951 |
| Source | marc_columbia |
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LEADER: 03951cam a2200661Ma 4500
001 15062462
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006 m o d
007 cr cn|||||||||
008 001012s1992 nyua ob 001 0 eng d
010 $z 92001338
035 $a(OCoLC)ocm45733755
035 $a(NNC)15062462
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020 $a0585157855$q(electronic bk.)
020 $a9780585157856$q(electronic bk.)
020 $a9781482277166
020 $a1482277166
020 $z0824786599$q(alk. paper)
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020 $a1315274086
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035 $a(OCoLC)45733755$z(OCoLC)970779569$z(OCoLC)1066588837$z(OCoLC)1091757585$z(OCoLC)1094301408$z(OCoLC)1197060356$z(OCoLC)1202482041
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084 $a*54F15$2msc
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084 $a54-01$2msc
049 $aZCUA
100 1 $aNadler, Sam B.
245 10 $aContinuum theory :$ban introduction /$cSam B. Nadler, Jr.
260 $aNew York :$bM. Dekker,$c©1992.
300 $a1 online resource (xii, 328 pages) :$billustrations.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
490 1 $aMonographs and textbooks in pure and applied mathematics ;$v158
504 $aIncludes bibliographical references and index.
588 0 $aPrint version record.
505 0 $aPt. I. General analysis. Examples of continua and nested intersections -- Inverse limits of continua -- Decompositions of continua -- Limits of sets -- The boundary bumping theorems -- Existence of non-cut points -- A general mapping theorem -- pt. II. Special continua and maps. General theory of Peano continua -- Graphs -- Dendrites -- Irreducible continua -- Arc-like continua -- Special types of maps.
520 $aThis long-needed volume, a combines reference and text, presents a mixture of classical and modern continuum theory techniques and contains easy-to-follow proofs as well as numerous examples and counterexamples. Providing many end-of-chapter exercises to augment ideas and illustrate techniques and concepts, Continuum Theory displays complete proofs of all results, including the Hahn-Mazurkiewicz and Sorgenfrey theorems, the inverse limit characterization of chainable continua, and characterization of graphs and dendrites ... gives continuum theory methods, such as inverse limits, usc decompositions, location of non-cut points, set-valued maps, order, limits of sets, and triods ... considers the global analysis and local structure of continua, the structure of special continua, and special types of maps ... unifies the subject by the nested intersection technique, which is used to construct continua and maps as well as to prove theorems ... discusses and constructs indecomposable continua ... and more.
546 $aEnglish.
650 0 $aContinuum (Mathematics)
650 6 $aContinu (Mathématiques)
650 7 $aMATHEMATICS$xTopology.$2bisacsh
650 7 $aContinuum (Mathematics)$2fast$0(OCoLC)fst00876783
650 7 $aTopologie.$2ram
650 7 $aMathématiques.$2ram
650 7 $aSystèmes dynamiques.$2ram
650 7 $aContinuité (Mathématiques)$2ram
655 0 $aElectronic book.
655 4 $aElectronic books.
776 08 $iPrint version:$aNadler, Sam B.$tContinuum theory.$dNew York : M. Dekker, ©1992$z0824786599$w(DLC) 92001338
830 0 $aMonographs and textbooks in pure and applied mathematics ;$v158.
856 40 $uhttp://www.columbia.edu/cgi-bin/cul/resolve?clio15062462$zTaylor & Francis eBooks
852 8 $blweb$hEBOOKS