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Analytic spaces
Geometric convexity
Differential operators in several variables
Functional analysis
Nonlinear operators and their properties
Geometric measure and integration theory, integral and normal currents
Global differential geometry
skos:inScheme
MSC 2010
narrower concept
General reference works (handbooks, dictionaries, bibliographies, etc.)
Instructional exposition (textbooks, tutorial papers, etc.)
Research exposition (monographs, survey articles)
Historical concerning 58-XX
Explicit machine computation and programs (not the theory of computation or programming)
Proceedings, conferences, collections, etc.
General theory of differentiable manifolds
Infinite-dimensional manifolds
Calculus on manifolds; nonlinear operators
Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
Variational problems in infinite-dimensional spaces
Pseudogroups, differentiable groupoids and general structures on manifolds
Partial differential equations on manifolds; differential operators
Theory of singularities and catastrophe theory
Applications to physics
skos:prefLabel
Global analysis, analysis on manifolds
大范围分析, 流形上的分析(几何积分理论, 见49Q15)
skos:altLabel
Global analysis, analysis on manifolds [See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx] {For geometric integration theory see 49Q15}
大范围分析, 流形上的分析[参见32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx](几何积分理论, 见49Q15)
http://msc2010.org...0/msc2010#seeAlso
Analytic spaces
Geometric convexity
Differential operators in several variables
Functional analysis
Nonlinear operators and their properties
Global differential geometry
http://msc2010.org...#seeConditionally
Geometric measure and integration theory, integral and normal currents
http://msc2010.org...10/msc2010#seeFor
http://msc2010.org/resources/MSC/2010/58-XX-to-49Q15-seeFor
skos:closeMatch
from MSC1991 value of: Global analysis, analysis on manifolds, [See also { 32-XX] {32Cxx, 32Fxx}, 46-XX, 47Hxx, 53Cxx; for geometric integration theory, See {49Fxx} {49Q15}}
from MSC2000 value of: Global analysis, analysis on manifolds [See also \CMPonly{32-XX]\FullScheme{32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx}} \SeeFor{For geometric integration theory, see \CMPonly{49Q}\FullScheme{49Q15}}
skos:notation
58-XX
skos:note
See also 32Cxx, 32Fxx, 32Wxx, 46-XX, 47Hxx, 53Cxx. For geometric integration theory, see 49Q15.
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http://msc2010.org/resources/MSC/2010/fullDD21-514.7
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Analytic spaces
Geometric convexity
Differential operators in several variables
Functional analysis
Nonlinear operators and their properties
Geometric measure and integration theory, integral and normal currents
Global differential geometry
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MSC 2010
is
rdfs:seeAlso
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Topological groups, Lie groups
Measure and integration
Functions of a complex variable
Nonlinear operators and their properties
Equations and inequalities involving nonlinear operators
Global differential geometry
Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants
is
broader concept
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General reference works (handbooks, dictionaries, bibliographies, etc.)
Instructional exposition (textbooks, tutorial papers, etc.)
Research exposition (monographs, survey articles)
Historical concerning 58-XX
Explicit machine computation and programs (not the theory of computation or programming)
Proceedings, conferences, collections, etc.
General theory of differentiable manifolds
Infinite-dimensional manifolds
Calculus on manifolds; nonlinear operators
Spaces and manifolds of mappings (including nonlinear versions of 46Exx)
Variational problems in infinite-dimensional spaces
Pseudogroups, differentiable groupoids and general structures on manifolds
Partial differential equations on manifolds; differential operators
Theory of singularities and catastrophe theory
Applications to physics
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Global differential geometry
Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants
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Topological groups, Lie groups
Measure and integration
Functions of a complex variable
Nonlinear operators and their properties
Equations and inequalities involving nonlinear operators
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Topological groups, Lie groups
Measure and integration
Functions of a complex variable
Nonlinear operators and their properties
Equations and inequalities involving nonlinear operators
Global differential geometry
Applications of global analysis to structures on manifolds, Donaldson and Seiberg-Witten invariants
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