La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Question : CC = Valued
03-XX Mathematical logic and foundations

• 03B50 Many-valued logic
• 03C90 Nonclassical models (Boolean-valued, sheaf, etc.)
• 03E40 Other aspects of forcing and Boolean-valued models

12-XX Field theory and polynomials

• 12J10 Valued fields
• 12J25 Non-Archimedean valued fields [See also 26E30, 30G06, 32P05, 46S10, 47S10]

13-XX Commutative rings and algebras

• 13F20 Polynomial rings and ideals; rings of integer-valued polynomials [See also 11C08, 13B25]

17-XX Nonassociative rings and algebras

• 17A80 Valued algebras

26-XX Real functions [See also 54C30]

• 26E25 Set-valued functions [See also 28B20, 49J53, 54C60] [For nonsmooth analysis, see 49J52, 58Cxx, 90Cxx]

28-XX Measure and integration [For analysis on manifolds, see 58-XX]

• 28A10 Real- or complex-valued set functions
• 28B05 Vector-valued set functions, measures and integrals [See also 46G10]
• 28B10 Group- or semigroup-valued set functions, measures and integrals
• 28B20 Set-valued set functions and measures; integration of set-valued functions; measurable selections [See also 26E25, 49J53, 54C60, 54C65]

30-XX Functions of a complex variable [For analysis on manifolds, see 58-XX]

• 30G30 Other generalizations of analytic functions (including abstract-valued functions)

35-XX Partial differential equations

• 35R20 Partial operator-differential equations (i.e. PDE on finite-dimensional spaces for abstract space valued functions) [See also 34Gxx, 47A50, 47D03, 47D06, 47D09, 47H20, 47Jxx]
• 35R70 PDE with multivalued right-hand sides

46-XX Functional analysis [For manifolds modeled on topological linear spaces, see 57Nxx, 58Bxx]

• 46E40 Spaces of vector- and operator-valued functions
• 46G10 Vector-valued measures and integration [See also 28Bxx, 46B22]

47-XX Operator theory

• 47A06 Linear relations (multivalued linear operators) [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 47A05, 47A99
• 47A56 Functions whose values are linear operators (operator and matrix valued functions, etc., including analytic and meromorphic ones)
• 47H04 Set-valued operators [See also 28B20, 54C60, 58C06]

49-XX Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX]

• 49J53 Set-valued and variational analysis [See also 26E25, 28B20, 47H04, 54C60, 58C06] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 49J52, 49J27, 49K27

54-XX General topology [For the topology of manifolds of all dimensions, see 57Nxx]

• 54C30 Real-valued functions [See also 26-XX]
• 54C60 Set-valued maps [See also 26E25, 28B20, 47H04, 58C06]

58-XX Global analysis, analysis on manifolds [For geometric integration theory, see 49Q15]

• 58C05 Real-valued functions
• 58C06 Set valued and function-space valued mappings [See also 47H04, 54C60]

60-XX Probability theory and stochastic processes [For additional applications, see 11Kxx, 62-XX, 90-XX, 91-XX, 92-XX, 93-XX, 94-XX]

• 60B12 Limit theorems for vector-valued random variables (infinite-dimensional case)

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