The Resource C^\infinity - Differentiable Spaces, by Juan A. Navarro González, Juan B. Sancho de Salas, (electronic resource)

C^\infinity - Differentiable Spaces, by Juan A. Navarro González, Juan B. Sancho de Salas, (electronic resource)

Label
C^\infinity - Differentiable Spaces
Title
C^\infinity - Differentiable Spaces
Statement of responsibility
by Juan A. Navarro González, Juan B. Sancho de Salas
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
The 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
Member of
http://library.link/vocab/creatorName
Navarro González, Juan A
Dewey number
  • 516.3/6
  • 510 s
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • RfNE4vYyjHg
  • 0VDiiIlyfjY
Image bit depth
0
Language note
English
LC call number
QA614-614.97
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
Sancho de Salas, Juan B.
Series statement
Lecture Notes in Mathematics,
Series volume
1824
http://library.link/vocab/subjectName
  • Global analysis
  • Algebra
  • Global Analysis and Analysis on Manifolds
  • Commutative Rings and Algebras
Label
C^\infinity - Differentiable Spaces, by Juan A. Navarro González, Juan B. Sancho de Salas, (electronic resource)
Instantiates
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Introduction -- 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
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (XVI, 196 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540396659
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/b13465
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000230811
  • (SSID)ssj0000392784
  • (PQKBManifestationID)12104491
  • (PQKBTitleCode)TC0000392784
  • (PQKBWorkID)10361415
  • (PQKB)10618320
  • (DE-He213)978-3-540-39665-9
  • (EXLCZ)991000000000230811
Label
C^\infinity - Differentiable Spaces, by Juan A. Navarro González, Juan B. Sancho de Salas, (electronic resource)
Publication
Note
Bibliographic Level Mode of Issuance: Monograph
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Color
not applicable
Content category
text
Content type code
txt
Contents
Introduction -- 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
Dimensions
unknown
Edition
1st ed. 2003.
Extent
1 online resource (XVI, 196 p.)
File format
multiple file formats
Form of item
online
Isbn
9783540396659
Level of compression
uncompressed
Media category
computer
Media type code
c
Other control number
10.1007/b13465
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
  • (CKB)1000000000230811
  • (SSID)ssj0000392784
  • (PQKBManifestationID)12104491
  • (PQKBTitleCode)TC0000392784
  • (PQKBWorkID)10361415
  • (PQKB)10618320
  • (DE-He213)978-3-540-39665-9
  • (EXLCZ)991000000000230811

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