Rudger KIEBOOM
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Postal address: Department of Mathematics, Vrije Universiteit Brussel,
Pleinlaan 2, B-1050 Brussels, BELGIUM
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Office: G.6.317 (Building G, 6th floor)
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Phone Number: +32 2 629.34.88 or +32 2 629.34.71 (secretary) or +32 3 237.50.99 (home)
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Fax Number: +32 2 629.34.95
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e-mail: rkieboom@vub.ac.be
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Teaching: (Multi)linear Algebra, Affine and Projective Geometry, Differential
Geometry, Algebraic Topology and Category Theory.
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Research interests: Category theory, homotopy theory,
categorical methods in algebra and geometry, philosophy of science.
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Reprints of the following selected papers are available upon request:
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R.W. Kieboom,Regular fibrations revisited, Arch. Math. 45
(1985),
68-73.
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R.W. Kieboom,A pullback theorem for cofibrations, Manuscr. Math.
58 (1987), 381-384.
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R.W. Kieboom,Notes on homotopy pullbacks, Quaest. Math. 14
(1991),
445-452.
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R.W. Kieboom and I. Pop,On approximate weak fibrations, Bull.
Soc.
Math. Belg. Ser. B 44 (1992), 215-227.
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R.W. Kieboom and Chen Jixiang,On FWHEP, Acta Math. Sinica, New
Series,
10 (1994), 301-307.
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R.W. Kieboom,An intrinsic description of the shape of paracompacta
by
means of non-continuous single-valued maps, Bull. Belg. Math. Soc.1
(1994), 701-711.
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K.A. Hardie, K.H. Kamps and R.W. Kieboom,Dold type theorems in
cubical
homotopy theory, in "Categorical Topology, Proceedings of the
l'Aquila
Conference (1994)", Kluwer 1996, 139-154.
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R.W. Kieboom,Stable homotopy monomorphisms, Appl. Categ. Struct.
5 (1997), 131-142.
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K.A. Hardie, K.H. Kamps and R.W. Kieboom,Higher homotopy groupoids
and
Toda brackets, Homology, Homotopy and Applications 1 (1999),
117-134.
(available at http://www.rmi.acnet.ge/hha/)
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K.A. Hardie, K.H. Kamps and R.W. Kieboom,A homotopy 2-groupoid of a
Hausdorff space, Appl. Categ. Struct. 8 (2000), 209-234.
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K.A. Hardie, K.H. Kamps and R.W. Kieboom,A homotopy bigroupoid of a
topological space, Appl. Categ. Struct. 9 (2001), 311-327.
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K.A. Hardie, K.H. Kamps and R.W. Kieboom,Fibrations of bigroupoids,
Journal of Pure and Applied Algebra 168 (2002), 35-43.
- R.W. Kieboom, G. Sonck, T. Van der Linden and P. Witbooi, Weak
(co)fibrations in categories of (co)fibrant
objects, Homology, Homotopy and Applications,
vol. 5 (1), (2003), 345-386.
- J.W. Duskin, R.W. Kieboom and E.M. Vitale, Morphisms of 2-groupoids
and low-dimensional cohomology of
crossed modules, in "Galois Theory, Hopf
Algebras and Semiabelian Categories" (Eds. G. Janelidze, B. Pareigis, W.
Tholen), Fields Institute Communications Vol. 43, American
Mathematical Society 2004, 227-241.
- T. Everaert, R.W. Kieboom and T. Van der Linden, Model structures
for homotopy of internal categories,
Theory and Applications of Categories,
Vol. 15(3), (2005), 66-94.
- J. Adamek, M. Gran, A.C. Ehresmann, G. Janelidze and R. Kieboom, Foreword in [1st Volume dedicated to F. Borceux], Cah. Topol. Géom. Différ. Catég. 50 (2009), no. 3, 163-170.
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Ph. Cara, R. Kieboom and T. Vervloet, A categorical approach to loops, neardomains and nearfields, to appear in Bull. Belg. Math. Soc.
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Created on 21 Feb 1996, last update 3 November 2011.