Submersions, Fibrations and Bundles

Gael Meigniez (1)

1 I2M - Institut de Mathématiques de Marseille

When does a submersion have the homotopy lifting property? When is it a locally trivial fibre bundle? We establish characterizations in terms of consistency in the topology of the neighbouring fibres.

Domaines: Topologie géométrique [math.GT]

Gael Meigniez. Submersions, Fibrations and Bundles. Transactions of the American Mathematical Society, 2002, 354 (9), pp.3771-3787. ⟨10.1090/S0002-9947-02-02972-0⟩. ⟨hal-03343115⟩