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Homotopy types of fibres of pfaffian maps

Vorobjov, N (Bath)
Thursday 14 July 2005, 10:00-11:00

Seminar Room 1, Newton Institute


We prove a tight upper bound on the number of different homotopy types of fibres of semialgebraic, quadratic or semi-Pfaffian maps in terms of formats of these maps. A similar argument leads to a tight upper bound on the sizes of finite bisimulations of Pfaffian dynamical and hybrid systems.


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