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Line 5: * generalizations of [[calculus]] to [[Banach space]]s * [[implicit function theorem]]s * fixed-point theorems ([[Brouwer fixed point theorem]], [[Fixed point theorems in infinite-dimensional spaces]], [[topological degree theory]], [[Jordan separation theorem]], [[Lefschetz fixed-point theorem]]) * [[Morse theory]] and [[Lyusternik–Schnirelmann category]] theory * methods of [[complex function theory]]

Nonlinear functional analysis: Difference between revisions