LEADER 04578nam 22009735 450 001 9910154742703321 005 20190708092533.0 010 $a1-4008-8233-8 024 7 $a10.1515/9781400882335 035 $a(CKB)3710000000631394 035 $a(MiAaPQ)EBC4738704 035 $a(DE-B1597)467927 035 $a(OCoLC)1024020168 035 $a(OCoLC)979743247 035 $a(DE-B1597)9781400882335 035 $a(EXLCZ)993710000000631394 100 $a20190708d2016 fg 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aTopics in Topology. (AM-10), Volume 10 /$fSolomon Lefschetz 210 1$aPrinceton, NJ : $cPrinceton University Press, $d[2016] 210 4$dİ1943 215 $a1 online resource (145 pages) $cillustrations 225 0 $aAnnals of Mathematics Studies ;$v344 300 $a"Lithoprinted." 300 $a"Companion to the author's volume Algebraic topology appearing at the same time in the Colloquium series."--Introd. 311 $a0-691-09573-6 320 $aIncludes bibliographical references and index. 327 $tFrontmatter -- $tINTRODUCTION -- $tTABLE OP CONTENTS -- $tChapter I. POLYTOPES -- $tChapter II. SINGULAR COMPLEXES -- $tChapter III. MAPPING AND IMBEDDING THEOREMS. RETRACTION -- $tChapter IV. LOCAL CONNECTEDNESS AND RELATED TOPICS -- $tSPECIAL BIBLIOGRAPHY ON LOCAL CONNECTEDNESS AND RETRACTION -- $tGENERAL BIBLIOGRAPHY -- $tINDEX 330 $aSolomon Lefschetz pioneered the field of topology--the study of the properties of many?sided figures and their ability to deform, twist, and stretch without changing their shape. According to Lefschetz, "If it's just turning the crank, it's algebra, but if it's got an idea in it, it's topology." The very word topology comes from the title of an earlier Lefschetz monograph published in 1920. In Topics in Topology Lefschetz developed a more in-depth introduction to the field, providing authoritative explanations of what would today be considered the basic tools of algebraic topology. Lefschetz moved to the United States from France in 1905 at the age of twenty-one to find employment opportunities not available to him as a Jew in France. He worked at Westinghouse Electric Company in Pittsburgh and there suffered a horrible laboratory accident, losing both hands and forearms. He continued to work for Westinghouse, teaching mathematics, and went on to earn a Ph.D. and to pursue an academic career in mathematics. When he joined the mathematics faculty at Princeton University, he became one of its first Jewish faculty members in any discipline. He was immensely popular, and his memory continues to elicit admiring anecdotes. Editor of Princeton University Press's Annals of Mathematics from 1928 to 1958, Lefschetz built it into a world-class scholarly journal. He published another book, Lectures on Differential Equations, with Princeton in 1946. 410 0$aAnnals of mathematics studies ;$vno. 10. 606 $aTopology 610 $aAddition. 610 $aAlgebraic topology. 610 $aBanach space. 610 $aBarycentric coordinate system. 610 $aC space. 610 $aCentroid. 610 $aClosed set. 610 $aCompact space. 610 $aConnected space. 610 $aContinuous function. 610 $aContractible space. 610 $aConvex set. 610 $aCorollary. 610 $aDiameter. 610 $aDimension (vector space). 610 $aExistential quantification. 610 $aGeneral topology. 610 $aHomology (mathematics). 610 $aHomotopy. 610 $aIntersection (set theory). 610 $aK0. 610 $aLocal property. 610 $aLocally compact space. 610 $aLowest common denominator. 610 $aManifold. 610 $aMetric space. 610 $aMetrization theorem. 610 $aNotation. 610 $aParallelepiped. 610 $aPolyhedron. 610 $aPolytope. 610 $aRetract. 610 $aSimplex. 610 $aSimplicial complex. 610 $aSubset. 610 $aTheorem. 610 $aTopological space. 610 $aTopology. 610 $aVector space. 615 0$aTopology. 676 $a513.83 676 $a510.82 700 $aLefschetz$b Solomon, $012523 801 0$bDE-B1597 801 1$bDE-B1597 906 $aBOOK 912 $a9910154742703321 996 $aTopics in Topology. (AM-10), Volume 10$92788526 997 $aUNINA