Manifold with infinitely many fibrations over the sphere

Włodzimierz Jelonek; Zbigniew Jelonek

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arXiv · 2405.01476

Manifold with infinitely many fibrations over the sphere

Włodzimierz Jelonek·Zbigniew Jelonek

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Abstract

We show that the manifold $X=S^2\times S^3$ has infinitely many structures of a fiber bundle over the base $B=S^2.$ In fact for every lens space $L(p,1)$ there is a fibration $L(p,1)\to X\to B.$

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BibTeX RIS

Włodzimierz Jelonek, Zbigniew Jelonek. 2024-05-02. Manifold with infinitely many fibrations over the sphere. https://arxiv.org/abs/2405.01476

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