Title: Winding around
Subjects: Algebraic topology -- Homology and cohomology theories -- $K$-theory, Algebraic topology -- Classical topics -- Degree, winding number, Mathematical analysis, Global analysis, analysis on manifolds -- General theory of differentiable manifolds -- Differential forms, Manifolds and cell complexes -- Low-dimensional topology -- Fundamental group, presentations, free differential calculus, Commutative law (Mathematics), Symmetric functions, Foundations, Associative law (Mathematics), Operator theory -- General theory of linear operators -- (Semi-) Fredholm operators; index theories, Algebraic topology