La Classification Mathématique par matières 2000
Mathematics subject Classification 2000Retour aux chapitres de la classification 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]
- 18-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- 18-01 Instructional exposition (textbooks, tutorial papers, etc.)
- 18-02 Research exposition (monographs, survey articles)
- 18-03 Historical (must also be assigned at least one classification number from Section 01)
- 18-04 Explicit machine computation and programs (not the theory of computation or programming)
- 18-06 Proceedings, conferences, collections, etc.
- 18-99 Category theory, homological algebra (not classified at a more specific level)
- 18Axx General theory of categories and functors
- 18Bxx Special categories
- 18Cxx Categories and theories
- 18Dxx Categories with structure
- 18Exx Abelian categories
- 18Fxx Categories and geometry
- 18Gxx Homological algebra [See also 13Dxx, 16Exx, 20Jxx, 55Nxx, 55Uxx, 57Txx]
- 18G05 Projectives and injectives [See also 13C10, 13C11, 16D40, 16D50]
- 18G10 Resolutions; derived functors [See also 13D02, 16E05, 18E25]
- 18G15 Ext and Tor, generalizations, Künneth formula [See also 13D07, 55U25]
- 18G20 Homological dimension [See also 13D05, 16E10]
- 18G25 Relative homological algebra, projective classes
- 18G30 Simplicial sets, simplicial objects (in a category) [See also 55U10]
- 18G35 Chain complexes [See also 18E30, 55U15]
- 18G40 Spectral sequences, hypercohomology [See also 55Txx]
- 18G50 Nonabelian homological algebra
- 18G55 Homotopical algebra
- 18G60 Other (co)homology theories [See also 19D55, 46L80, 58J20, 58J22]
- 18G99 None of the above, but in this section
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