000 | 03256nam a22004935i 4500 | ||
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001 | 978-3-540-39665-9 | ||
003 | DE-He213 | ||
005 | 20190213151159.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2003 gw | s |||| 0|eng d | ||
020 |
_a9783540396659 _9978-3-540-39665-9 |
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024 | 7 |
_a10.1007/b13465 _2doi |
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050 | 4 | _aQA614-614.97 | |
072 | 7 |
_aPBKS _2bicssc |
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072 | 7 |
_aMAT034000 _2bisacsh |
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072 | 7 |
_aPBKS _2thema |
|
082 | 0 | 4 |
_a514.74 _223 |
100 | 1 |
_aNavarro González, Juan A. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aC∞-Differentiable Spaces _h[electronic resource] / _cby Juan A. Navarro González, Juan B. Sancho de Salas. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2003. |
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300 |
_aXVI, 196 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1824 |
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505 | 0 | _aIntroduction -- 1. Differentiable Manifolds -- 2. Differentiable Algebras -- 3. Differentiable Spaces -- 4. Topology of Differentiable Spaces -- 5. Embeddings -- 6. Topological Tensor Products -- 7. Fibred Products -- 8. Topological Localization -- 9. Finite Morphisms -- 10. Smooth Morphisms -- 11. Quotients by Compact Lie Groups -- A. Sheaves of Fréchet Modules -- B. Space of Jets -- References -- Index. | |
520 | _aThe volume develops the foundations of differential geometry so as to include finite-dimensional spaces with singularities and nilpotent functions, at the same level as is standard in the elementary theory of schemes and analytic spaces. The theory of differentiable spaces is developed to the point of providing a handy tool including arbitrary base changes (hence fibred products, intersections and fibres of morphisms), infinitesimal neighbourhoods, sheaves of relative differentials, quotients by actions of compact Lie groups and a theory of sheaves of Fréchet modules paralleling the useful theory of quasi-coherent sheaves on schemes. These notes fit naturally in the theory of C^\infinity-rings and C^\infinity-schemes, as well as in the framework of Spallek’s C^\infinity-standard differentiable spaces, and they require a certain familiarity with commutative algebra, sheaf theory, rings of differentiable functions and Fréchet spaces. | ||
650 | 0 | _aGlobal analysis. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aGlobal Analysis and Analysis on Manifolds. _0http://scigraph.springernature.com/things/product-market-codes/M12082 |
650 | 2 | 4 |
_aCommutative Rings and Algebras. _0http://scigraph.springernature.com/things/product-market-codes/M11043 |
700 | 1 |
_aSancho de Salas, Juan B. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540200727 |
776 | 0 | 8 |
_iPrinted edition: _z9783662161562 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1824 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b13465 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9794 _d9794 |