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

Voir la notice de l'article provenant de la source Cambridge University Press

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
@article{10_4153_CMB_1971_008_8,
     author = {Hoo, C. S.},
     title = {The {Weak} {Weak} {Category} of a {Space}},
     journal = {Canadian mathematical bulletin},
     pages = {49--51},
     year = {1971},
     volume = {14},
     number = {1},
     doi = {10.4153/CMB-1971-008-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-008-8/}
}
TY  - JOUR
AU  - Hoo, C. S.
TI  - The Weak Weak Category of a Space
JO  - Canadian mathematical bulletin
PY  - 1971
SP  - 49
EP  - 51
VL  - 14
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-008-8/
DO  - 10.4153/CMB-1971-008-8
ID  - 10_4153_CMB_1971_008_8
ER  - 
%0 Journal Article
%A Hoo, C. S.
%T The Weak Weak Category of a Space
%J Canadian mathematical bulletin
%D 1971
%P 49-51
%V 14
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1971-008-8/
%R 10.4153/CMB-1971-008-8
%F 10_4153_CMB_1971_008_8

[1] 1. Berstein, I. and Hilton, P. J., Homomorphisms of homotopy structures. Topologie et géomtrie differentielle, Séminaire Ehresmann, April 1963. Google Scholar

[2] 2. Hoo, C. S., Nilpotency class of a map and Stasheff's criterion, Pac. J. Math. 28 (1969), 375-380. Google Scholar

[3] 3. Peterson, F. P., Numerical invariants of homotopy type, Colloq. on algebraic topology. Aarhus Universitet (1962), 79-83. Google Scholar

Cité par Sources :