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Library,Documentation and Information Science Division

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borderland which separates the known from the unknown”

-P.C.Mahalanobis


The Geometric Hopf Invariant and Surgery Theory (Record no. 427156)

000 -LEADER
fixed length control field 03425nam a22005055i 4500
020 ## - INTERNATIONAL STANDARD BOOKNUMBER
International Standard Book Number 9783319713069
-- 978-3-319-71306-9
024 7# -
-- 10.1007/978-3-319-71306-9
-- doi
040 ## -
-- ISI Library, Kolkata
050 #4 -
-- QA612-612.8
072 #7 -
-- PBPD
-- bicssc
072 #7 -
-- MAT038000
-- bisacsh
072 #7 -
-- PBPD
-- thema
082 04 - DEWEYDECIMAL CLASSIFICATION NUMBER
Classification number 514.2
Edition number 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Crabb, Michael.
Relator code aut
-- http://id.loc.gov/vocabulary/relators/aut
245 14 - TITLE STATEMENT
Title The Geometric Hopf Invariant and Surgery Theory
Medium [electronic resource] /
Statement of responsibility, etc by Michael Crabb, Andrew Ranicki.
942 ## - ADDED ENTRY ELEMENTS(KOHA)
Koha item type E-BOOKS
100 1# - MAIN ENTRY--PERSONAL NAME
-- author.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE STATEMENTS
Place of production, publication, distribution, manufacture Cham :
Name of producer, publisher, distributor, manufacturer Springer International Publishing :
-- Imprint: Springer,
Date of production, publication, distribution, manufacture 2017.
300 ## -
-- XVI, 397 p. 1 illus. in color.
-- online resource.
336 ## - CONTENT TYPE
Content Type Term text
Content Type Code txt
Source rdacontent
337 ## - MEDIA TYPE
Media Type Term computer
Media Type Code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier Type Term online resource
Carrier Type Code cr
Source rdacarrier
347 ## -
-- text file
-- PDF
-- rda
490 1# -
-- Springer Monographs in Mathematics,
-- 1439-7382
505 0# -
-- 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.
520 ## -
-- 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. .
650 #0 -
-- Algebraic topology.
650 #0 -
-- Cell aggregation
-- Mathematics.
650 14 -
-- Algebraic Topology.
-- http://scigraph.springernature.com/things/product-market-codes/M28019
650 24 -
-- Manifolds and Cell Complexes (incl. Diff.Topology).
-- http://scigraph.springernature.com/things/product-market-codes/M28027
700 1# -
-- Ranicki, Andrew.
-- author.
-- aut
-- http://id.loc.gov/vocabulary/relators/aut
710 2# -
-- SpringerLink (Online service)
773 0# -
-- Springer eBooks
776 08 -
-- Printed edition:
-- 9783319713052
776 08 -
-- Printed edition:
-- 9783319713076
776 08 -
-- Printed edition:
-- 9783319890616
830 #0 -
-- Springer Monographs in Mathematics,
-- 1439-7382
856 40 -
-- https://doi.org/10.1007/978-3-319-71306-9
912 ## -
-- ZDB-2-SMA
950 ## -
-- Mathematics and Statistics (Springer-11649)

No items available.

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