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978-3-319-71306-9
DE-He213
20181204134419.0
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180125s2017 gw | s |||| 0|eng d
9783319713069
978-3-319-71306-9
10.1007/978-3-319-71306-9
doi
ISI Library, Kolkata
QA612-612.8
PBPD
bicssc
MAT038000
bisacsh
PBPD
thema
514.2
23
Crabb, Michael.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
The Geometric Hopf Invariant and Surgery Theory
[electronic resource] /
by Michael Crabb, Andrew Ranicki.
Cham :
Springer International Publishing :
Imprint: Springer,
2017.
XVI, 397 p. 1 illus. in color.
online resource.
text
txt
rdacontent
computer
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rdamedia
online resource
cr
rdacarrier
text file
PDF
rda
Springer Monographs in Mathematics,
1439-7382
1 The difference construction -- 2 Umkehr maps and inner product spaces -- 3 Stable homotopy theory -- 4 Z_2-equivariant homotopy and bordism theory -- 5 The geometric Hopf invariant -- 6 The double point theorem -- 7 The -equivariant geometric Hopf invariant -- 8 Surgery obstruction theory -- A The homotopy Umkehr map -- B Notes on Z2-bordism -- C The geometric Hopf invariant and double points (2010) -- References -- Index.
Written by leading experts in the field, this monograph provides homotopy theoretic foundations for surgery theory on higher-dimensional manifolds. Presenting classical ideas in a modern framework, the authors carefully highlight how their results relate to (and generalize) existing results in the literature. The central result of the book expresses algebraic surgery theory in terms of the geometric Hopf invariant, a construction in stable homotopy theory which captures the double points of immersions. Many illustrative examples and applications of the abstract results are included in the book, making it of wide interest to topologists. Serving as a valuable reference, this work is aimed at graduate students and researchers interested in understanding how the algebraic and geometric topology fit together in the surgery theory of manifolds. It is the only book providing such a wide-ranging historical approach to the Hopf invariant, double points and surgery theory, with many results old and new. .
Algebraic topology.
Cell aggregation
Mathematics.
Algebraic Topology.
http://scigraph.springernature.com/things/product-market-codes/M28019
Manifolds and Cell Complexes (incl. Diff.Topology).
http://scigraph.springernature.com/things/product-market-codes/M28027
Ranicki, Andrew.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
Springer eBooks
Printed edition:
9783319713052
Printed edition:
9783319713076
Printed edition:
9783319890616
Springer Monographs in Mathematics,
1439-7382
https://doi.org/10.1007/978-3-319-71306-9
ZDB-2-SMA
EB
Mathematics and Statistics (Springer-11649)
427156
427156