Dennis Sullivan (source code)

= Dennis Sullivan
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<Dennis Sullivan> developed algebraic methods for <topology>, particularly <rational homotopy theory>. His <Sullivan minimal model> replaces a space's differential-form information by a controlled differential graded algebra.<Infinitesimal computations in topology by Dennis Sullivan>[Original byline, introduction and sections 2 and 5]{ref}

Generators are added to represent missing cohomology classes and impose necessary relations. Under the theory's hypotheses, the model records rational homotopy information that ordinary cohomology alone can miss. This makes nonlinear questions about spaces accessible through algebra while retaining more structure than a list of Betti numbers.<Infinitesimal computations in topology by Dennis Sullivan>[Sections 5 and 10]{ref}