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This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differe…
Part I Basic Theory in M-Polyfolds -- 1 Sc-Calculus -- 2 Retracts -- 3 Basic Sc-Fredholm Theory -- 4 Manifolds and Strong Retracts -- 5 Fredholm Package for M-Polyfolds -- 6 Orientations -- Part II Ep-Groupoids -- 7 Ep-Groupoids -- 8 Bundles and Covering Functors -- 9 Branched E…