000 03553nam a22005175i 4500
001 978-1-4757-6848-0
003 DE-He213
005 20210118114613.0
007 cr nn 008mamaa
008 130131s1993 xxu| s |||| 0|eng d
020 _a9781475768480
_9978-1-4757-6848-0
024 _a10.1007/978-1-4757-6848-0
_2doi
050 _aQA611-614.97
072 _aPBP
_2bicssc
072 _aMAT038000
_2bisacsh
072 _aPBP
_2thema
082 _a514
_223
100 _aBredon, Glen E.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 _aTopology and Geometry
_h[electronic resource] /
_cby Glen E. Bredon.
250 _a1st ed. 1993.
264 _aNew York, NY :
_bSpringer New York :
_bImprint: Springer,
_c1993.
300 _aXXIII, 131 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v139
505 _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.
520 _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.
650 _aTopology.
650 _aGeometry.
650 _aTopology.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M28000
650 _aGeometry.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M21006
710 _aSpringerLink (Online service)
773 _tSpringer Nature eBook
776 _iPrinted edition:
_z9781441931030
776 _iPrinted edition:
_z9780387979267
776 _iPrinted edition:
_z9781475768497
830 _aGraduate Texts in Mathematics,
_x0072-5285 ;
_v139
856 _uhttps://doi.org/10.1007/978-1-4757-6848-0
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
912 _aZDB-2-BAE
999 _c9370
_d9370