Synthetic differential topology / Marta Bunge, McGill University, Montréal ; Felipe Gago, Universidade de Santiago de Compostela, Spain ; Ana María San Luis, Universidad de Oviedo, Spain.
Represents the state of the art in the new field of synthetic differential topology.
Bibliography
Includes bibliographical references and index.
Contents
Topos theory -- Synthetic differential geometry -- The Ambrose-Palais-Singer theorem in SDG -- Calculus of variations in SDG -- Local concepts in SDG -- Synthetic differential topology -- Stable mappings and Mather's theorem in SDT -- Morse theory in SDT -- Well adapted models of SDT -- An application to unfoldings -- The Dubuc Topos G -- G as a model of SDT.
Local Note
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