Eva Colebunders Homepage

Selected Publications (since 2000)

  Recent Journal Publications

  • E. Colebunders, C. Verbeeck, Exponential objects in coreflective subconstructs: a comparison Appl. Categor. Struct. 8, (2000) 247-256
  • H.L. Bentley, M. Husek, E. Lowen-Colebunders, A Stone-Weierstrass theorem for and unstructured set with applications, Appl. Categor. Struct. 8, (2000) 425-434
  • E. Colebunders, R. Lowen, Supercategories of Top and the inevitable emergence of categorical topology, in Handbook of the History of General Topology Vol 3, 969-1026, Kluwer Academic Publishers (now Springer) (2001)
  • E. Colebunders, R. Lowen and M. Nauwelaerts, The cartesian closed hull of the category of approach spaces, Cahiers Topol. Géom. Diff. Cat., 42, 242-260 (2001)
  • E. Colebunders, G. Richter, An elementary approach to exponential spaces, Appl. Categor. Struct. 9 (2001) 303-310
  • V. Claes, E. Colebunders, G. Sonck, Cartesian closed topological hull of the construct of closure spaces, Theory and Appl. of Categ. 8 (2001) 481-489
  • D. Aerts, E. Colebunders, A. Van der Voorde, B. Van Steirteghem, The amnestic modification of the category of state property systems, Appl. Categor. Struct. 10 (2002) 469-480
  • D. Deses, E. Lowen-Colebunders, On completeness in a non-Archimedean setting via firm reflections, Bull. Belg. math. Soc. (2002) 49-61
  • D. Deses, A. De Groot-Van der Voorde, E. Lowen-Colebunders, Extensions of closure spaces Appl. Gen. Topol. 4 (2003) 223-241
  • H.L. Bentley, E. Colebunders, Initial morphisms versus embeddings, Appl. Categor. Struct. 12 (2004) 361-367
  • E. Colebunders, R. Lowen, Metrically generated theories, Proceedings Amer. Math. Soc., 133, 1547-1556 (2005)
  • E. Colebunders, R. Lowen, P. Wuyts, A Kuratowski-Mrowka theorem in approach theory, Topology Appl., 153, 756-766 (2005)
  • V. Claes, E. Colebunders, Productivity of Zariski compactness for constructs of affine sets, Topology Appl. 153 (2005) 747-755
  • E. Colebunders, A. Gerlo, G. Sonck, Function spaces and one-point extensions for metrically generated theories, Topology Appl. 153 (2006) 3129-3139
  • V. Claes, E. Colebunders, A. Gerlo, On the epimorphism problem and cowellpoweredness for metrically generated theories, Acta Math. Hung. 114 (2007) 133-152
  • E. Colebunders, A. Gerlo, Firm reflections generated by complete metric spaces, Cahiers Topol. Geom. Diff. Categ. 48, 2007, 243-260
  • E. Colebunders, R. Lowen, E. Vandersmissen, Uniqueness of completeness in metrically generated theories, Topology Appl., 155, 39-55 (2007)
  • E. Colebunders, R. Lowen, Bornologies and metrically generated theories, Topology Appl., 156, 1224-1233, (2009)
  • L. Bentley, E. Colebunders, E. Vandersmissen, A convenient setting for completions and function spaces, Beyond Topology, Contemporary Mathematics, American Mathematical Society, 2009, p. 37-88
  • E. Giuli, E. Colebunders, R. Lowen, Spaces modelled by an algebra on [0,\infty] and their complete objects, Topology Appl. 157, 2010, p. 1335-1346
  • E. Colebunders, E. Vandersmissen, Bicompletion of metrically generated constructs, Acta Math. Hungar. 128, 2010, p. 239-264
  • E. Colebunders, R. Lowen, W. Rosiers, Lax algebras via initial monad morphisms: App, Top, Met and Ord Topology Appl. 158 (2011) 828-903
  • E. Colebunders, S. De Wachter, R. Lowen, Intrinsic approach spaces on domains Topology Appl. 158 (2011) 2344-2355
  • E. Colebunders, R. Lowen, A. Van Geenhoven, Local metrically generated theories Topology Appl. 159 (2012) 2320-2330
  • E. Colebunders, S. De Wachter, R. Lowen, Fixed points of contractive maps between DCPO's Mathematical Structures in Computer Science 24(1), (2014) e240102, 18p, doi:10.17/S0960129513000017
  • E. Colebunders, S. De Wachter, M. Schellekens, Complexity analysis via approach theory Applied Categorical Structures 22 (1), (2014), 119-136 doi:10.1007/s10485-013-9302-2.
  • E. Colebunders, F. Mynard, W. Trott: Function spaces and contractive extensions in approach theory: the role of regularity, Appl. Categor. Struct. 22 (3), (2014), 551-563, doi 10.1007/s10485-013-9321-z
  • M. M Clementino, E. Colebunders, W. Tholen: Lax algebras as spaces, in Monoidal topology : a categorical approach to order, metric and topology , D. Hofmann, G. Seal, W. Tholen eds Encyclopedia of Mathematics and its Applications 153 Cambridge University Press, 2014, p. 375-465
  • E. Colebunders, R. Lowen, K. Van Opdenbosch: Regularity for relational algebras and the case of approach spaces, submitted


  Preprints or in preparation


  • E. Colebunders, R. Lowen, K. Van Opdenbosch: Approach spaces, functional ideal convergence and Kleisli monoids