On Quotients of Hopf Fibrations*
نویسندگان
چکیده
It was shown in [LV] that there are no PL-bundles of the form CPh ↪→ CPh → S where CPh denotes a PL-manifold homotopy equivalent to CP. It was stated at the end of [LV] that the homotopy analog of a) does not exist. In [U], Ucci showed that there exists no Hurewicz fibration of the form CP ↪→ CP → S. However, as stated, this was not the strongest possible result. Let HCP, HCaP and S h denote spaces homotopy equivalent to complex projective n-space CP, the Cayley plane CaP and S respectively. In this paper we adapt the proof of Jack Ucci [U] to show:
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