Geodesic
A Counterexample to a Conjecture of D. B. Fuks
Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 261-266

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In [3] D. B. Fuks defined a duality of functors in the category of weak homotopy types. In general this duality is more difficult to work with than the duality of functors of the category of pointed Kelley spaces [2]. It happens however that all so-called strong functors [2] F of induce functors of , and if we denote the duality operators of and by and D respectively, then there are many cases where . 
Demers, Luc. A Counterexample to a Conjecture of D. B. Fuks. Canadian mathematical bulletin, Tome 13 (1970) no. 2, pp. 261-266. doi: 10.4153/CMB-1970-053-5
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     title = {A {Counterexample} to a {Conjecture} of {D.} {B.} {Fuks}},
     journal = {Canadian mathematical bulletin},
     pages = {261--266},
     year = {1970},
     volume = {13},
     number = {2},
     doi = {10.4153/CMB-1970-053-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-053-5/}
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