nLab Paul Dedecker

Paul Dedecker was a Belgian mathematician, one of the pioneers of the subject of nonabelian cohomology.

He also worked on category theory, variational calculus and its relations to homological algebra, exterior calculus on manifolds and on mathematical physics.

• Wikipedia entry

Selected writings

On nonabelian cohomology:

• Paul Dedecker, Cohomologie à coefficients non abéliens et espaces fibrés, Bulletins de l’Académie Royale de Belgique 41 (1955) 1132-1146 [persee:barb_0001-4141_1955_num_41_1_69497]

• Paul Dedecker, Cohomologie de dimension 2 à coefficients non abéliens, C. R. Acad. Sci. Paris 247 (1958) 1160-1163 [BnF]

• Paul Dedecker, Sur La Cohomologie Non Abelienne I (Dimension Deux), Canadian Journal of Mathematics 12 (1960) 231-251 [doi:10.4153/CJM-1960-019-7]

• Groupoïdes de cohomologie à coefficients non abéliens et espaces fibrés. Colloque de topologie algébrique, Louvain, 1956, pp. 135–149. Georges Thone, Liège; Masson & Cie, Paris, 1957.

• On the exact cohomology sequence of a space with coefficients in a nonabelian sheaf. 1958 Symposium internacional de topología algebraica International symposium on algebraic topology pp. 309–322 Universidad Nacional Autónoma de México and UNESCO, Mexico City

• Sur la cohomologie non abélienne. I. Canad. J. Math. 12 1960 231–251; Sur la cohomologie non abélienne. II. Canad. J. Math. 15 1963 84–93.

• Le foncteur $Hom$ non abélien. Notion de poulpe. C. R. Acad. Sci. Paris 257 1963 2384–2387.

• Sur la $n$-cohomologie non abélienne. C. R. Acad. Sci. Paris 260 1965 4137–4139.

• (with Armin Frei), Généralisation de la suite exacte de cohomologie non abélienne. C. R. Acad. Sci. Paris Sér. A-B 263 1966 A203–A206.

• (with A. S-T. Lue) A nonabelian two-dimensional cohomology for associative algebras. Bull. Amer. Math. Soc. 72 1966 1044–1050.

• Algèbre homologique non abélienne. 1966 Colloque de Topologie (Brussels, 1964) pp. 209–234 Librairie Universitaire, Louvain

• (with René Lavendhomme), Catégories fibrées et cohomologie non abélienne de dimension deux, C. R. Acad. Sci. Paris Sér. A-B 266 1968 A453–A456.

• (with René Lavendhomme), Sur les catégories fibrées. C. R. Acad. Sci. Paris Sér. A-B 266 1968 A409–A412.

• Three dimensional non-abelian cohomology for groups. 1969 Category Theory, Homology Theory and their Applications, II (Battelle Institute Conference, Seattle, Wash., 1968, Vol. Two) pp. 32–64 Springer, Berlin

• (with E. Luks), Sur la non fonctorialité du $H^{2}$ en cohomologie non abélienne. C. R. Acad. Sci. Paris Sér. A-B 282 (1976), no. 4, Ai, A183–A185.

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