46L60 Applications of selfadjoint operator algebras to physics [See also <a href="#code:46N50">46N50</a>, <a href="#code:46N55">46N55</a>, <a href="#code:47L90">47L90</a>, <a href="#code:81T05">81T05</a>, <a href="#code:82B10">82B10</a>, <a href="#code:82C10">82C10</a>]

46L70 Nonassociative selfadjoint operator algebras [See also <a href="#code:46H70">46H70</a>, <a href="#code:46K70">46K70</a>]

46L80 $K$-theory and operator algebras (including cyclic theory) [See also <a href="#code:18F25">18F25</a>, <a href="#code:19Kxx">19Kxx</a>, <a href="#code:46M20">46M20</a>, <a href="#code:55Rxx">55Rxx</a>, <a href="#code:58J22">58J22</a>]

46L85 Noncommutative topology [See also <a href="#code:58B32">58B32</a>, <a href="#code:58B34">58B34</a>, <a href="#code:58J22">58J22</a>]

46L87 Noncommutative differential geometry [See also <a href="#code:58B32">58B32</a>, <a href="#code:58B34">58B34</a>, <a href="#code:58J22">58J22</a>]

46L89 Other “noncommutative” mathematics based on $C^*$-algebra theory [See also <a href="#code:58B32">58B32</a>, <a href="#code:58B34">58B34</a>, <a href="#code:58J22">58J22</a>]

46L99 None of the above, but in this section

46Mxx Methods of category theory in functional analysis [See also <a href="#code:18-XX">18-XX</a>]

46M07 Ultraproducts [See also <a href="#code:46B08">46B08</a>, <a href="#code:46S20">46S20</a>]

46M10 Projective and injective objects [See also <a href="#code:46A22">46A22</a>]

46M15 Categories, functors {For $K$-theory, EXT, etc., see <a href="#code:19K33">19K33</a>, <a href="#code:46L80">46L80</a>, 46M18, 46M20}

46M18 Homological methods (exact sequences, right inverses, lifting, etc.)

46M20 Methods of algebraic topology (cohomology, sheaf and bundle theory, etc.) [See also <a href="#code:14F05">14F05</a>, <a href="#code:18Fxx">18Fxx</a>, <a href="#code:19Kxx">19Kxx</a>, <a href="#code:32Cxx">32Cxx</a>, <a href="#code:32Lxx">32Lxx</a>, <a href="#code:46L80">46L80</a>, 46M15, 46M18, <a href="#code:55Rxx">55Rxx</a>]

46M35 Abstract interpolation of topological vector spaces [See also <a href="#code:46B70">46B70</a>]