000 03122nam a22004575i 4500
001 978-3-7643-9904-7
003 DE-He213
005 20181204133148.0
007 cr nn 008mamaa
008 100301s2009 sz | s |||| 0|eng d
020 _a9783764399047
_9978-3-7643-9904-7
024 7 _a10.1007/978-3-7643-9904-7
_2doi
040 _aISI Library, Kolkata
050 4 _aQA612-612.8
072 7 _aPBPD
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBPD
_2thema
082 0 4 _a514.2
_223
100 1 _aSnaith, Victor P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aStable Homotopy Around the Arf-Kervaire Invariant
_h[electronic resource] /
_cby Victor P. Snaith.
264 1 _aBasel :
_bBirkhäuser Basel,
_c2009.
300 _aXIV, 239 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aProgress in Mathematics,
_x0743-1643 ;
_v273
505 0 _aAlgebraic Topology Background -- The Arf-Kervaire Invariant via QX -- The Upper Triangular Technology -- A Brief Glimpse of Algebraic K-theory -- The Matrix Corresponding to 1 ? ?3 -- Real Projective Space -- Hurewicz Images, BP-theory and the Arf-Kervaire Invariant -- Upper Triangular Technology and the Arf-Kervaire Invariant -- Futuristic and Contemporary Stable Homotopy.
520 _aWere I to take an iron gun, And ?re it o? towards the sun; I grant ‘twould reach its mark at last, But not till many years had passed. But should that bullet change its force, And to the planets take its course, ‘Twould never reach the nearest star, Because it is so very far. from FACTS by Lewis Carroll [55] Let me begin by describing the two purposes which prompted me to write this monograph. This is a book about algebraic topology and more especially about homotopy theory. Since the inception of algebraic topology [217] the study of homotopy classes of continuous maps between spheres has enjoyed a very exc- n n tional, central role. As is well known, for homotopy classes of maps f : S ?? S with n? 1 the sole homotopy invariant is the degree, which characterises the homotopy class completely. The search for a continuous map between spheres of di?erent dimensions and not homotopic to the constant map had to wait for its resolution until the remarkable paper of Heinz Hopf [111]. In retrospect, ?nding 3 an example was rather easy because there is a canonical quotient map from S to 3 1 1 2 theorbitspaceofthe freecircleactionS /S =CP = S .
650 0 _aAlgebraic topology.
650 1 4 _aAlgebraic Topology.
_0http://scigraph.springernature.com/things/product-market-codes/M28019
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783764399344
776 0 8 _iPrinted edition:
_z9783764399030
830 0 _aProgress in Mathematics,
_x0743-1643 ;
_v273
856 4 0 _uhttps://doi.org/10.1007/978-3-7643-9904-7
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426277
_d426277