Abstract
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.
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