Biblioteca Dr. Antonio Monteiro · Catálogo | |
19 | $K$-theory | ||
19-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
19-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
19-02 | Research exposition (monographs, survey articles) | ||
19-03 | Historical | ||
19-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
19-06 | Proceedings, conferences, collections, etc. | ||
19-99 | $K$-theory (not classified at a more specific level) | ||
19A | Grothendieck groups and $K_0$ [See also 13D15, 18F30] | ||
19A13 | Stability for projective modules [See also 13C10] | ||
19A15 | Efficient generation | ||
19A22 | Frobenius induction, Burnside and representation rings | ||
19A31 | $K_0$ of group rings and orders | ||
19A49 | $K_0$ of other rings | ||
19A99 | None of the above, but in this section | ||
19B | Whitehead groups and $K_1$ | ||
19B10 | Stable range conditions | ||
19B14 | Stability for linear groups | ||
19B28 | $K_1$ of group rings and orders [See also 57Q10] | ||
19B37 | Congruence subgroup problems [See also 20H05] | ||
19B99 | None of the above, but in this section | ||
19C | Steinberg groups and $K_2$ | ||
19C09 | Central extensions and Schur multipliers | ||
19C20 | Symbols, presentations and stability of $K_2$ | ||
19C30 | $K_2$ and the Brauer group | ||
19C40 | Excision for $K_2$ | ||
19C99 | None of the above, but in this section | ||
19D | Higher algebraic $K$-theory | ||
19D06 | $Q$- and plus-constructions | ||
19D10 | Algebraic $K$-theory of spaces | ||
19D23 | Symmetric monoidal categories [See also 18D10] | ||
19D25 | Karoubi-Villamayor-Gersten $K$-theory | ||
19D35 | Negative $K$-theory, NK and Nil | ||
19D45 | Higher symbols, Milnor $K$-theory | ||
19D50 | Computations of higher $K$-theory of rings [See also 13D15, 16E20] | ||
19D55 | $K$-theory and homology; cyclic homology and cohomology [See also 18G60] | ||
19D99 | None of the above, but in this section | ||
19E | $K$-theory in geometry | ||
19E08 | $K$-theory of schemes [See also 14C35] | ||
19E15 | Algebraic cycles and motivic cohomology [See also 14C25, 14C35] | ||
19E20 | Relations with cohomology theories [See also 14Fxx] | ||
19E99 | None of the above, but in this section | ||
19F | $K$-theory in number theory [See also 11R70, 11S70] | ||
19F05 | Generalized class field theory [See also 11G45] | ||
19F15 | Symbols and arithmetic [See also 11R37] | ||
19F27 | Étale cohomology, higher regulators, zeta and $L$-functions [See also 11G40, 11R42, 11S40, 14F20, 14G10] | ||
19F99 | None of the above, but in this section | ||
19G | $K$-theory of forms [See also 11Exx] | ||
19G05 | Stability for quadratic modules | ||
19G12 | Witt groups of rings [See also 11E81] | ||
19G24 | $L$-theory of group rings [See also 11E81] | ||
19G38 | Hermitian $K$-theory, relations with $K$-theory of rings | ||
19G99 | None of the above, but in this section | ||
19J | Obstructions from topology | ||
19J05 | Finiteness and other obstructions in $K_0$ | ||
19J10 | Whitehead (and related) torsion | ||
19J25 | Surgery obstructions [See also 57R67] | ||
19J35 | Obstructions to group actions | ||
19J99 | None of the above, but in this section | ||
19K | $K$-theory and operator algebras [See mainly 46L80, and also 46M20] | ||
19K14 | $K_0$ as an ordered group, traces | ||
19K33 | EXT and $K$-homology [See also 55N22] | ||
19K35 | Kasparov theory ($KK$-theory) [See also 58J22] | ||
19K56 | Index theory [See also 58J20, 58J22] | ||
19K99 | None of the above, but in this section | ||
19L | Topological $K$-theory [See also 55N15, 55R50, 55S25] | ||
19L10 | Riemann-Roch theorems, Chern characters | ||
19L20 | $J$-homomorphism, Adams operations [See also 55Q50] | ||
19L41 | Connective $K$-theory, cobordism [See also 55N22] | ||
19L47 | Equivariant $K$-theory [See also 55N91, 55P91, 55Q91, 55R91, 55S91] | ||
19L64 | Computations, geometric applications | ||
19L99 | None of the above, but in this section | ||
19M05 | Miscellaneous applications of $K$-theory | ||
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