LEADER 03582nam 22006615 450 001 9910956107403321 005 20251013140717.0 010 $a1-4757-6848-6 024 7 $a10.1007/978-1-4757-6848-0 035 $a(CKB)2660000000022215 035 $a(SSID)ssj0001298809 035 $a(PQKBManifestationID)11724900 035 $a(PQKBTitleCode)TC0001298809 035 $a(PQKBWorkID)11262475 035 $a(PQKB)11706997 035 $a(DE-He213)978-1-4757-6848-0 035 $a(MiAaPQ)EBC3086271 035 $a(PPN)23808566X 035 $a(EXLCZ)992660000000022215 100 $a20130131d1993 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aTopology and Geometry /$fby Glen E. Bredon 205 $a1st ed. 1993. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d1993. 215 $a1 online resource (XXIII, 131 p.) 225 1 $aGraduate Texts in Mathematics,$x2197-5612 ;$v139 300 $a"With 85 illustrations." 311 08$a0-387-97926-3 311 08$a1-4419-3103-1 320 $aIncludes bibliographical references and indexes. 327 $aI General Topology -- II Differentiable Manifolds -- III Fundamental Group -- IV Homology Theory -- V Cohomology -- VI Products and Duality -- VII Homotopy Theory -- Appendices -- App. A. The Additivity Axiom -- App. B. Background in Set Theory -- App. C. Critical Values -- App. D. Direct Limits -- App. E. Euclidean Neighborhood Retracts -- Index of Symbols. 330 $aThe golden age of mathematics-that was not the age of Euclid, it is ours. C. J. KEYSER This time of writing is the hundredth anniversary of the publication (1892) of Poincare's first note on topology, which arguably marks the beginning of the subject of algebraic, or "combinatorial," topology. There was earlier scattered work by Euler, Listing (who coined the word "topology"), Mobius and his band, Riemann, Klein, and Betti. Indeed, even as early as 1679, Leibniz indicated the desirability of creating a geometry of the topological type. The establishment of topology (or "analysis situs" as it was often called at the time) as a coherent theory, however, belongs to Poincare. Curiously, the beginning of general topology, also called "point set topology," dates fourteen years later when Frechet published the first abstract treatment of the subject in 1906. Since the beginning of time, or at least the era of Archimedes, smooth manifolds (curves, surfaces, mechanical configurations, the universe) have been a central focus in mathematics. They have always been at the core of interest in topology. After the seminal work of Milnor, Smale, and many others, in the last half of this century, the topological aspects of smooth manifolds, as distinct from the differential geometric aspects, became a subject in its own right. 410 0$aGraduate Texts in Mathematics,$x2197-5612 ;$v139 606 $aTopology 606 $aGeometry 606 $aTopology 606 $aGeometry 606 $aTopologia algebraica$2thub 608 $aLlibres electrònics$2thub 615 0$aTopology. 615 0$aGeometry. 615 14$aTopology. 615 24$aGeometry. 615 7$aTopologia algebraica 676 $a514 676 $a514.2 700 $aBredon$b Glen E.$4aut$4http://id.loc.gov/vocabulary/relators/aut$045078 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910956107403321 996 $aTopology and geometry$979433 997 $aUNINA