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In this note, we fill in a gap in the literature by proving that theTeichmueller modular groups (mapping class groups) are not Poincare dualitygroups and the complexes of curves of surfaces have infinite homotopy type(i.e. are not homotopy equivalent to a finite CW-complex).

Infinite topology of curve complexes and non-Poincare duality of Teichmueller modular groups