Geodesic
The Weak Weak Category of a Space
Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 49-51

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Let X be a topological space. We say that cat X ≤ n if there exists a map φ: X → T1(X, ..., X) such that jφ≃Δ: X → Xn+1 , where T1(X, ..., X) is the “fat wedge”, j is the inclusion and Δ is the diagonal map. This is an example of a right structure system. This right structure system leads to an associated weak structure system, namely weak category in this particular case. 
Hoo, C. S. The Weak Weak Category of a Space. Canadian mathematical bulletin, Tome 14 (1971) no. 1, pp. 49-51. doi: 10.4153/CMB-1971-008-8
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