Geodesic
An alternative proof of a weak form of Serre's theorem
Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 210-221 Cet article a éte moissonné depuis la source Math-Net.Ru

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A proof of a weak form of Serre's theorem on the finiteness of stable homotopy groups of spheres is suggested, which uses neither loop spaces nor spectral sequences. 
@article{ZNSL_1999_261_a16,
     author = {S. S. Podkorytov},
     title = {An alternative proof of a weak form of {Serre's} theorem},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {210--221},
     year = {1999},
     volume = {261},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a16/}
}
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S. S. Podkorytov. An alternative proof of a weak form of Serre's theorem. Zapiski Nauchnykh Seminarov POMI, Geometry and topology. Part 4, Tome 261 (1999), pp. 210-221. http://geodesic.mathdoc.fr/item/ZNSL_1999_261_a16/