Let Γ be a fibrewise co-Hopf space over a topological space B. A ΓB-suspension space ΓBX is a generalization of a fibrewise suspension space ΣBX for any fibrewise pointed space X over B. Making use of ΓB-suspension space, we define ΓB-Hopf construction and prove a ΓB-suspension formula which generalizes the suspension formula of C. S. Hoo. The dual formula is also proved.
Cite this article
Nobuyuki Oda, Fibrewise Hopf Construction and Hoo Formula for Pairings. Publ. Res. Inst. Math. Sci. 30 (1994), no. 2, pp. 261–279DOI 10.2977/PRIMS/1195166133