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- W1488591073 abstract "For a small cover Q^n and any principal (Z_2)^m-bundle M^n over Q^n, it was shown in a previous work of the author that the total sum of Z_2-Betti numbers of M^n is at least 2^m. In this paper, we prove that when M^n is connected, the total sum of Z_2-Betti numbers of such an M^n exactly equals 2^m if and only if M^n is homeomorphic to a product of spheres, and Q^n in this case must be a generalized real Bott manifold (or equivalent, Q^n is a small cover over a product of simplices)." @default.
- W1488591073 created "2016-06-24" @default.
- W1488591073 creator A5007284633 @default.
- W1488591073 date "2010-10-24" @default.
- W1488591073 modified "2023-10-14" @default.
- W1488591073 title "Small Cover and Halperin-Carlsson Conjecture -II" @default.
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- W1488591073 doi "https://doi.org/10.48550/arxiv.1010.4929" @default.
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