Paul Dedecker (
Brussels, 1921 –
Caracas
Caracas (, ), officially Santiago de León de Caracas, abbreviated as CCS, is the capital and largest city of Venezuela, and the center of the Metropolitan Region of Caracas (or Greater Caracas). Caracas is located along the Guaire River in the ...
, 2007) was a
Belgian mathematician who worked primarily in
topology on the subjects of
nonabelian cohomology,
general category theory,
variational calculus and its relations to
homological algebra
Homological algebra is the branch of mathematics that studies homology (mathematics), homology in a general algebraic setting. It is a relatively young discipline, whose origins can be traced to investigations in combinatorial topology (a precurs ...
,
exterior calculus
In mathematics, differential forms provide a unified approach to define integrands over curves, surfaces, solids, and higher-dimensional manifolds. The modern notion of differential forms was pioneered by Élie Cartan. It has many applications, ...
on
manifolds and
mathematical physics.
He graduated in
mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
in 1948 at the
Free University of Brussels, where he was a student of
van den Dungen.
Works
* Paul Dedecker, "Extension du groupe structural d'un espace fibré", Colloque de Topogie de Strasbourg (1955).
* Paul Dedecker, ''Variétés différentiables et espaces fibrés'', Université de Liège, Liège : 1962.
* Paul Dedecker, "Sur la cohomologie non Abelienne, II", Canadian Journal of Mathematics, Vol. 15, No. 1 (1963), pp. 84–92.
* Paul Dedecker, ''Calcul des variations, formes différentielles et champs géodésiques'', colloque international de géométrie différentielle, Strasbourg, CNRS : 1953.
* Paul Dedecker and Pierre Tison, ''Cours de topologie algébrique'', fascicule 1, Caracas-Bruxelles-Lille : 1970.
* Paul Dedecker and Antoine Philippe, ''Cours de topologie algébrique'', fascicule 2, Lille-Louvain-Santiage du Chili : 1970.
External links
*
Théorie algébrique des équations approchées, bulletin de l'Institut de Mathématiques de l'Université de Liège, 1955Paul Dedecker, représentant de l'université de Liège à la réunion internationale de Mathématiques à Rochester (États-Unis) en 1957"''Une propriété des formes différentielles dans le calcul des variations''", Pacific Journal of Mathematics, 1957Catalogue de la bibliothèque centrale de l'université de Caracas, VenezuelaPourprix Marie-Thérèse, ''Des mathématiciens à la faculté des sciences de Lille: 1854–1971'', éditions L'Harmattan, Paris : 2009
{{DEFAULTSORT:Dedecker, Paul
1921 births
2007 deaths
20th-century Belgian mathematicians
Free University of Brussels (1834–1969) alumni