K-theory Algebraic topology Differential topology Homotopy theory Noncommutative differential geometry Novikov conjecture Topological transformation groups Topology $K$-theory -- Higher algebraic $K$-theory -- Higher algebraic $K$-theory $K$-theory -- Topological $K$-theory -- Connective $K$-theory, cobordism Algebraic topology -- Applied homological algebra and category theory -- Applied homological algebra and category theory Algebraic topology -- Homology and cohomology theories -- Homology and cohomology theories Algebraic topology -- Homotopy theory -- Homotopy theory Category theory; homological algebra -- General theory of categories and functors -- Functor categories, comma categories Category theory; homological algebra -- Homological algebra -- Resolutions; derived functors Cohomology operations Group theory and generalizations -- Abstract finite groups -- None of the above, but in this section Invariants Manifolds and cell complexes -- Differential topology -- Diffeomorphisms Riemannian manifolds Selfadjoint operators