$K$-theory [See also 16E20, 18F25] -- Higher algebraic $K$-theory -- $K$-theory and homology; cyclic homology and cohomology [See also 18G60] $K$-theory [See also 16E20, 18F25] -- Higher algebraic $K$-theory -- Algebraic $K$-theory of spaces $K$-theory [See also 16E20, 18F25] -- Topological $K$-theory [See also 55N15, 55R50, 55S25] -- Connective $K$-theory, cobordism [See also 55N22] Algebraic topology Algebraic topology -- Homotopy theory {For simple homotopy type, see 57Q10} -- Spectra with additional structure ($E_\infty$, $A_\infty$, ring spectra, etc.) Cobordism theory Cobordismo, Teoría de Homologie Homología, Teoría de Homology theory K-theory K-théorie Théorie des cobordismes Topologie algébrique Topología algebraica