Simple Contracted Complexes are Nonshellable

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We show that the existence of pseudosimplicial nonshellable n-spheres, n ⩾ 3, is a direct conse-quence of some known results about ‘contracted complexes’.

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Work performed under the auspices of the GNSAGA of the CNR (National Research Council of Italy) and within the project ‘Geometria delle Varietà Differenziabili’ of the MPI (Italy).