
Vrije Universiteit Brussel
Departement of Mathematics (Vakgroep Wiskunde)
Pleinlaan 2
1050 Brussels
Belgium
Tel: + 32 2 629 34 86
Email: evacoleb@vub.ac.be

 Topological constructs and function spaces.
 Metrically generated theories, approach spaces, convergence theory, lax algebraic theories.
 Theory of completions and extensions.
 Domain theory

 FWO research project "A categorical approach to compactness and completeness" 20042006
(with R. Lowen UA)
 FWO research project "Metrically generated theories" 20052010 (with
R. Lowen UA)
 BWS04/07 research project "The categorical study of quantified and nonsymmetric mathematical structures and their applications to analysis, topology and order" (Spokesman M. Sioen, Copromotors E. Colebunders, H.P. Kunzi)
 FWO Wiskunde Onderzoeksgemeenschap , Fundamentele Methoden en Technieken van de Wiskunde 20052011, woordvoerder H. Van Maldeghem, lokale coordinator VUB E. Colebunders
 Quantitative domains and models for average case execution time (FWO TM509) 20092013
 Topological study of categories of modelled objects making use of closure operators (Function spaces, compactness and completeness in a metrically generated context) FWO TM311 20032007

 The special issue of Applied
Categorical Structures
devoted to the December 2005 conference "Aspects of Contemporary Topology II" (editors:
M. Husek, H.P. Kunzi, E. Colebunders, W. Tholen) vol 15, 2007
 The special issue of Topology
and its Applications
devoted to the December 2009 conference "Aspects of Contemporary Topology IV" (editors:
E. Colebunders, M. Husek, R. Lowen, W. Tholen) , DOI: 10.1016/j.topol.2011.01.003.
 Aspects of Contemporary Topology I, International Workshop UA and VUB, December 2003, coorganizer with R. Lowen, M. Sioen
 Aspects of Contemporary Topology II, International Workshop UA and VUB, December 2005, coorganizer with R. Lowen, M. Sioen
 Monoidal Topology I, Mini Workshop Barisciano, Italy, April 2006
 Monoidal Topology II, Mini Workshop Antwerp, December 2006, coorganizer with R. Lowen
 Monoidal Topology III, Mini Workshop Antwerp, June 2007, coorganizer with R. Lowen
 Aspects of Contemporary Topology III, International Workshop UA and VUB, December 2007, coorganizer with R. Lowen, M. Sioen, S. Verwulgen
 Aspects of Contemporary Topology IV, International Workshop UA and VUB, December 2009, (Organizers: E. Colebunders, R. Lowen, M. Sioen)
 Workshop on categorical topology, in honour of Eraldo Giuli on the occasion of his 70th birthday, Ponta del Gada, Azores, Portugal, March 1820, 2010 (Member of the scientific committee)
 Algebra meets topology: advances and applications, Conference in Honor of Dikran Dikranjan on his 60th birthday, Barcelona, Spain, 1923 July, 2010
 Multivalued analysis and topology, Varenna, Italy, July 1822, 2011
 Workshop on Category Theory, Coimbra, Portugal, July 913, 2012
 Aspects of Contemporary Topology V, International Workshop in honour of Eva Colebunders on her 65th birthday, VUB and UA, september 2014, Organizers: R. Lowen, M. Sioen, G. Sonck

 Baekeland Rony, Measures of compactness and
their application to convergence of probability measures, 1992. Promotor
E. Colebunders, Copromotor R. Lowen (UA).
 Bogaerts Jan, Orders characterized by Wijsman continuous functions, 1993, Promotor J.P. Brans, Copromotor E. Colebunders
 Sonck Gert, Cartesisch geslotenheid en toepassingen op AscoliArzela stellingen, 1997, Promotor E. Colebunders
 Verbeeck Francis, The Category of Preapproach
Spaces, 2000. Promotor R. Lowen, Copromotor E. Colebunders (VUB).
 Van der Voorde Ann, Separation axioms in extension theory for closure spaces and their relevance in state property systems, 2001, Promotor E. Colebunders, Copromotor D. Aerts
 Deses Didier, Completeness and zerodimensionality arising from the duality between closures and lattices, 2003, Promotor E. Colebunders, Copromotor D. Aerts
 Claes Veerle, A study of function spaces and compactness for the category of affine sets and its subconstructs, 2004, Promotor E. Colebunders
 Gerlo An, Separation, completeness and compactness in metrically generated theories, 2007, Promotor E. Colebunders
 Vandersmissen Eva, Firm completions in metrically generated constructs, 2008, Promotor E. Colebunders, Copromotor R. Lowen
 De Wachter Sarah, Fixed point theorems via quantifying approach spaces on domains, VUB 2013, Promotor E. Colebunders, joint PhD University College Cork, Ireland, Promotor M. Schellekens
 K. Van Opdenbosch: Approach theory in monoidal topology, start PhD 2013, VUB Promotor E. Colebunders, joint PhD University of Antwerp UA Promotor R. Lowen

 Real numbers and set theory, 1st year Bachelor Mathematics
 Analysis II, 2nd year Bachelors Mathematics and 2nd year Bachelor Physics
 Topology I, 3rd year Bachelor Mathematics
 Fundamentals of Mathematics, 1st year Master Mathematics VUBUA
 Categorical Topology, Master Mathematics VUBUA
 Capita Selecta Topology, Master Mathematics, interuniversity course

 Homepage of the researchgroup ANTOP (Spokesperson Bob Lowen, UA)

Universiteit Antwerpen
Departement of Mathematics and Computer Science
Middelheimlaan 1
2020 Antwerp
Belgium
Tel.: + 32 3 265 32 29
Email: bob.lowen@ua.ac.be
