Geodesic
Multiplication on Spaces with Comultiplication*
Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 499-505

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Let A be an H-space and K a space. It is well known that [K, A] is a loop. Suppose A has a comultiplication as well, that is, cat A < 2. Then we shall prove that [K, A] is a Moufang loop. This generalises a result of C. W. Norman who proved this for the case where A is the circle, the 3-sphere or the 7-sphere. It also improves the known result that [K, A] is a diassociative loop if A has a comultiplication as well, since Moufang loops are diassociative. 
Hoo, C.S. Multiplication on Spaces with Comultiplication*. Canadian mathematical bulletin, Tome 12 (1969) no. 4, pp. 499-505. doi: 10.4153/CMB-1969-064-3
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     title = {Multiplication on {Spaces} with {Comultiplication*}},
     journal = {Canadian mathematical bulletin},
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     year = {1969},
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     number = {4},
     doi = {10.4153/CMB-1969-064-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-064-3/}
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