La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

Query : CC = 46L80
18-XX Category theory; homological algebra [For commutative rings see 13Dxx, for associative rings 16Exx, for groups 20Jxx, for topological groups and related structures 57Txx; see also 55Nxx and 55Uxx for algebraic topology]

• 18F25 Algebraic K-theory and L-theory [See also 11Exx, 11R70, 11S70, 12-XX, 13D15, 14Cxx, 16E20, 19-XX, 46L80, 57R65, 57R67]
• 18G60 Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22]

19-XX $K$-theory [See also 16E20, 18F25]

• 19Kxx K-theory and operator algebras [See mainly 46L80, and also 46M20]

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

• 46L80 K-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
• 46M15 Categories, functors [For K-theory, EXT, etc., see 19K33, 46L80, 46M18, 46M20]
• 46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) [See also 14F05, 18Fxx, 19Kxx, 32Cxx, 32Lxx, 46L80, 46M15, 46M18, 55Rxx]

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

• 58J20 Index theory and related fixed point theorems [See also 19K56, 46L80] [New MSC 2000 code]
  • MSC 1991 code in relation : 58G10
• 58J22 Exotic index theories [See also 19K56, 46L05, 46L10, 46L80, 46M20] [New MSC 2000 code]
  • MSC 1991 code in relation : 58G12

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