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001 978-3-540-44648-4
003 DE-He213
005 20190213151554.0
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008 121227s2004 gw | s |||| 0|eng d
020 _a9783540446484
_9978-3-540-44648-4
024 7 _a10.1007/b100393
_2doi
050 4 _aQA613-613.8
050 4 _aQA613.6-613.66
072 7 _aPBMS
_2bicssc
072 7 _aMAT038000
_2bisacsh
072 7 _aPBMS
_2thema
072 7 _aPBPH
_2thema
082 0 4 _a514.34
_223
100 1 _aSaeki, Osamu.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aTopology of Singular Fibers of Differentiable Maps
_h[electronic resource] /
_cby Osamu Saeki.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2004.
300 _aX, 154 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1854
505 0 _aPart I. Classification of Singular Fibers: Preliminaries; Singular Fibers of Morse Functions on Surfaces; Classification of Singular Fibers; Co-existence of Singular Fibers; Euler Characteristic of the Source 4-Manifold; Examples of Stable Maps of 4-Manifolds -- Part II. Universal Complex of Singular Fibers: Generalities; Universal Complex of Singular Fibers; Stable Maps of 4-Manifolds into 3-Manifolds; Co-orientable Singular Fibers; Homomorphism Induced by a Thom Map; Cobordism Invariance; Cobordism of Maps with Prescribed Local Singularities; Examples of Cobordism Invariants -- Part III. Epilogue: Applications; Further Developments; References; List of Symbols; Index.
520 _aThe volume develops a thorough theory of singular fibers of generic differentiable maps. This is the first work that establishes the foundational framework of the global study of singular differentiable maps of negative codimension from the viewpoint of differential topology. The book contains not only a general theory, but also some explicit examples together with a number of very concrete applications. This is a very interesting subject in differential topology, since it shows a beautiful interplay between the usual theory of singularities of differentiable maps and the geometric topology of manifolds.
650 0 _aCell aggregation
_xMathematics.
650 1 4 _aManifolds and Cell Complexes (incl. Diff.Topology).
_0http://scigraph.springernature.com/things/product-market-codes/M28027
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540230212
776 0 8 _iPrinted edition:
_z9783662201213
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1854
856 4 0 _uhttps://doi.org/10.1007/b100393
912 _aZDB-2-SMA
912 _aZDB-2-LNM
912 _aZDB-2-BAE
999 _c11141
_d11141