| Journal Publications (since 2000) |
- 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.
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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
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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, H. Boustique, P. Mikusinski and G. Richardson: Convergence Approach Spaces: Actions, Appl. Categor. Struct. 24, (2), (2016), 147-161, doi 10.1007/s10485-015-9390-2 .
- E. Colebunders, R. Lowen, K. Van Opdenbosch: Regularity for relational algebras and approach spaces, Topol. Appl. 200, (2016), 79-100, doi 10.1016/j.topol.2015.12.014.
- E. Colebunders, K. Van Opdenbosch: Kleisli monoids describing approach spaces, Appl. Categor. Struct. 24 (5), (2016), 521-544, doi 10.1007/s10485-016-9456-9.
- E. Colebunders, K. Van Opdenbosch: Topological properties of non-Archimedean approach spaces, Theory and Appl. of Categories, 33, (2018), 1454-1484.10.1007/s10485-016-9456-9.
- E. Colebunders, M. Sioen, W Van den Haute: Normality in terms of distances and contractions, J. Math. Anal. Appl. 461, (2018), 74-96.
doi.org/10.1016/j.jmaa.2017.12.062.
- E. Colebunders, M. Sioen, W Van den Haute, Normality, regularity and contractive realvalued maps, Appl. Categor. Struct, 26, (2018), 909-930. doi.org/10.1007/s10485-018-9532-4.
- E. Colebunders, M. Sioen, The Banaschewski compactification revisited, J. Pure Appl. Algebra, 223, (2019), 5185-5214, doi.org/10.1016/j.jpaa.2019.03.017
- Colebunders E., Lowen R., Zero dimensionality of the Cech-Stone compactification of an approach space,
Topology Appl.vol 273, (2020), 106973, doi 10.1016/j.topol.2019.106973(2019)
- E. Colebunders, M. Sioen, The Banaschewski compactification is of Wallman-Shanin type, Quaestiones Math. 44, (7), (2021), 905-921,
doi .org 10.2989/16073606.20.
- E. Colebunders, R. Lowen, M. Sioen, An isomorphism of the Wallman and Cech-Stone compactifications. Quaestiones Math. (2021), doi.org 10.2989/16073606.2021.1891991.
| Preprints or in preparation |
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