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 Strong cohomological rigidity of a product of projective spaces Bull. Korean Math. Soc. 2012 Vol. 49, No. 4, 761-765 https://doi.org/10.4134/BKMS.2012.49.4.761Printed July 1, 2012 Suyoung Choi and Dong Youp Suh Ajou University, KAIST Abstract : We prove that for a toric manifold (respectively, a quasitoric manifold) $M$, any graded ring isomorphism $H^\ast(M) \to H^\ast(\prod_{i=1}^{m}\mathbb CP^{n_i})$ can be realized by a diffeomorphism (respectively, a homeomorphism) $\prod_{i=1}^m \mathbb CP^{n_i} \to M$. Keywords : product of projective spaces, generalized Bott manifold, strong cohomological rigidity, toric manifold, quasitoric manifold MSC numbers : Primary 57S25; Secondary 22F30 Downloads: Full-text PDF