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8 Homotopy theory of Fredholm operators

8 Homotopy theory of Fredholm operators

Homotopy theory of Fredholm operatorsThis chapter is about homotopy groups of the sets of Fredholm operators, unitary and self-adjoint Fredholm operators, Fredholm pairs, and other operator classes.Both bounded and unbounded Fredholm operators with various topologies are dealt with, and as an application a characterization of the spectral flow is proved …