Seventy-two scientific papers established Johannes de Groot as the leading Dutch topologist for more than two decades following the Second World War. During his career, he focused primarily on algebra, topological groups, and dimension theory, moving from his initial studies in the Netherlands to influence mathematics departments throughout the country and beyond until his death in 1972.
Academic Foundations and Early Career
Born in Garrelsweer in 1914, De Groot attended Christelijk Gymnasium Sorghvliet from 1929 to 1931 and Willem Lodewijk Gymnasium between 1931 and 1933. He later pursued undergraduate and graduate studies at the University of Groningen from 1933 until 1942, earning his Ph.D. under the supervision of Gerrit Schaake. Although his early training encompassed algebra and geometry, he shifted his focus to point set topology. After completing his degree, he held early positions at Centrum Wiskunde & Informatica in 1946 and returned to the University of Amsterdam for a lecturership in 1947.
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De Groot served as a professor of mathematics at the Delft University of Technology from 1948 until 1952. He subsequently returned to the University of Amsterdam in 1952, holding a position there until 1965. He accepted a final appointment at the same institution from 1965 until his death in 1972. During his tenure in academia, he was elected as a member of the Royal Netherlands Academy of Arts and Sciences.
Contributions to Topology
His research included roughly 90 papers, covering dimension theory, metrizable spaces, and the classification of homeomorphisms. He investigated the compactness degree of spaces and developed a significant conjecture regarding the minimum dimension required for compactification. From 1962, his work pivoted toward new theoretical frameworks, including subcompactness, superextension, and the study of minusspaces. His construction using Cayley graphs demonstrated that every group can serve as the automorphism group of a compact Hausdorff space.
Fast facts
- Born: 1914, Garrelsweer
- Died: 1972, Rotterdam
- Citizenship: Kingdom of the Netherlands
- Primary Field: Topology
- Educated at: University of Groningen
- Member: Royal Netherlands Academy of Arts and Sciences
- Languages: English, Dutch
Questions readers ask
What subjects did Johannes de Groot study as an undergraduate?
He studied mathematics, physics, and philosophy.
Did he hold positions outside of the Netherlands?
Yes, he visited Purdue University, Washington University in St. Louis, the University of Florida, and the University of South Florida.
Achievements
- Held posts at Delft University of Technology, University of Amsterdam and University of Amsterdam
- Fields: topology, algebra and group theory
