Projects per year
Organization profile
Organisation profile
The research team investigates mathematical structures that are important in several basic areas of mathematics like geometry, representation theory, functional analysis, differential calculus or theory of approximation. The motivation also comes from outside mathematics, from computer science or physics where some of the mathematical structures that are studied are called upon as models. By application of methods from category theory the relation between these mathematical structures is studied. The compatibility of their fundamental constructions is investigated and a general study of their representability, as well as of their function space theory is undertaken. More specifically the theory of frames or locales uses order-theoretic notions to gain more insight in topological structures and to shed light on the use of choice principles in topology (or sometimes simply avoid them altogether). The theory of approach spaces provides the tools for obtaining quantified results in topology and in functional analysis, extending the isometric theory of Banach spaces. The team contributes to the development of the theory of semi-abelian categories and tensor categories Semi-abelian categories allow a unified setting for many important homological properties of non-abelian categories. Categories of quantum groups, of rings, of Lie-algebras and of crossed modules are typical non-abelian categories, often with a tensor structure. Abstract tensor categories lead to interesting non-commutative spaces (operator algebras) whose analytical properties are studied in connection with the properties of the associated category. The main emphasis is on representation categories of quantum deformations of semi-simple Lie groups.
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Network
Projects
- 6 Finished
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OZR1424: Further development of semi-abelian homology theory
Kieboom, R. & Van Der Linden, T.
1/01/07 → 31/12/07
Project: Fundamental
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OZR431: Application of methods from categorical topology in order to solve problems in the completion theory of quasid-uniform spaces.
1/01/00 → 31/12/01
Project: Fundamental
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OZR191: The application of computeralgebra within the fundamental research in geometry and theory of groups.
1/01/98 → 31/12/98
Project: Fundamental
Research output
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Capping with activated carbon reduces nutrient fluxes, denitrification and meiofauna in contaminated sediments
Bonaglia, S., Rämö, R., Marzocchi, U., Le Bouille, L., Leermakers, M., Nascimento, F. J. A. & Gunnarsson, J. S., 1 Jan 2019, In : Water Research. 148, p. 515-525 11 p.Research output: Contribution to journal › Article
Open Access24 Citations (Scopus) -
Health risks related to seafood consumption and arsenic speciation in fish and shellfish from North Sea (Southern bight) and Açu Port area (Brazil)
Baisch, P., Gao, Y., Larebeke, N. V., Baeyens, W., Leermakers, M., Mirlean, N. & Júnior, F. M., 1 Jan 2018, Environmental Arsenic in a ChangingWorld - 7th International Congress and Exhibition Arsenic in the Environment, 2018. Zhu, Y-G., Zhu, Y-G., Guo, H., Guo, H., Bhattacharya, P., Bhattacharya, P., Bundschuh, J., Ahmad, A., Ahmad, A., Ahmad, A., Naidu, R. & Naidu, R. (eds.). CRC Press/Balkema, p. 371-372 2 p. (Environmental Arsenic in a ChangingWorld - 7th International Congress and Exhibition Arsenic in the Environment, 2018).Research output: Chapter in Book/Report/Conference proceeding › Conference paper
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Quantum flag manifolds as quotients of degenerate quantized universal enveloping algebras
De Commer, K. & Neshveyev, S., 2015, In : Transform. Groups. 20, 3, p. 725-742 17 p.Research output: Contribution to journal › Article
2 Citations (Scopus) -
Cartesian closeness, extensionality and bornological universes
Sioen, M. & Vroegrijk, T., 2014, In : Appl. Categ. Struct.. 22, p. 565-577 13 p.Research output: Contribution to journal › Article
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Complexity Analysis via Approach Spaces
Colebunders, E., De Wachter, S. & Schellekens, M., Feb 2014, In : Applied Categorical Structures. 22, DOI 10.1007/s10485-013-9302-2, p. 119-136 18 p.Research output: Contribution to journal › Article
Activities
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Praktische toepassingen van elementaire lineaire algebra.
Rudger Kieboom (Participant)14 Feb 2012Activity: Participating in or organising an event › Participating in or organizing a public lecture/debate
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Workshop on Category theory
Eva Colebunders (Speaker)2012Activity: Talk or presentation › Talk or presentation at a workshop/seminar
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Research visit Tholen, York University, Canada
Eva Colebunders (Member)2012Activity: Other › Types of External academic engagement - Hosting an academic visitor
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University of Nis (External organisation)
Eva Colebunders (Member)2011 → 2014Activity: Membership › Membership of peer-review panel or committee
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Aspects of contemporary topology IV (Journal)
Eva Colebunders (Editor)2011Activity: Publication peer-review and editorial work › Editorial activity