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Categorical Methods in Algebra and Topology -- Supported
by NSERC Recent Books
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Categorical Foundations. Special Topics in Order, Topology, Algebra,
and Sheaf Theory, Edited by Maria-Cristina Pedicchio and Walter Tholen.
Encyclopedia of Mathematics and Its Applications 97, Cambridge University
Press 2004. |
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Galois Theory, Hopf Algebras, and Semiabelian Categories, Edited by
George Janelidze, Bodo Pareigis and Walter Tholen. Fields Institute
Communications 43, American Mathematical Society 2004. |
Recent Research Articles
| Lax algebra meets topology, with Dirk Hofmann, Topology and its
Applications (to appear), pdf |
| Kleisli enriched, Journal of Pure and Applied Algebra (to
appear), pdf |
| Closure operators and their middle-interchange law, Topology and its
Applications (to appear), pdf |
| On the categorical meaning of Hausdorff and Gromov distances, I , with
Andrei Akhvlediani and Maria Manuel Clementino, Topology and its
Applications 157 (2010) 1275-1295,
pdf |
| Ordered topological structures, Topology and its Applications
156 (2009) 2149-2157, pdf |
| Ideal determined categories, Cahiers Topologie Géom. Différentielle
Catégorique (to appear), with G. Janelidze, L. Marki and A. Ursini.
pdf |
| Strongly separable morphisms in general categories, Theory Appl.
Categories 23 (2009) 136-149, with G. Janelidze.
pdf |
| Injectivity versus exponentiability, Cahiers Topologie Géom. Différentielle
Catégoriques 59 (2008) 228-240.
pdf |
| Lawvere completion and separation via closure, Applied Categorical
Structures, with Dirk Hofmann.
pdf |
| A topologist's view of Chu spaces, Applied Categorical Structures
15 (2007) 573-598, with Eraldo Giuli.
pdf |
| Factorization, fibration and torsion, J. Homotopy Theory and
Related Structures (to appear), with J. Rosicky'.
pdf |
| Natural weak factorization systems, Archivum Mathematicum 42
(2006) 397-408, with Marco Grandis.
pdf |
| Characterization of torsion theories in general categories,
Contemporary Mathematics (to appear), with
George Janelidze. pdf,
ps. |
| Torsion theories and radicals in normal categories, Journal of
Algebra 305 (2006) 98-129, with M. M. Clementino and D. Dikranjan.
pdf. |
| Universality of coproducts in categories of lax algebras, Applied
Categorical Structures 14 (2006) 243-249, with M. Mahmoudi and C. Schubert.
pdf. |
| Facets of descent III: Monadic descent for rings and algebras,
Applied Categorical Structures 12 (2004) 461-477, with G. Janelidze ps,
pdf. |
| Classification of closure operators for categories of topological
spaces. In: Categorical Structures and Their Applications, edited
by W. Gähler and G. Preuss, pp69-98 (World Scientific, Singapore 2004),
with D. Dikranjan and S. Watson.
pdf,
ps. |
| Kleisli operations for topological spaces, Topology and its Applications
153 (2006) 2952-2961, with D.
Hofmann pdf.
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| Descent Equivalence, Cahiers Topologie Géom. Différentielle
Catégoriques 44 (2004) 301-352, with X. Guo and M. Sobral.
ps,
pdf. |
| One setting for all: metric, topology, uniformity, approach structure,
Applied Categorical Structures 12 (2004) 127-154, with M. M. Clementino and D. Hofmann.
pdf. |
| Exponentiability in categories of lax algebras, Theory and
Applications of Categories 11 (2003) 337-352, with M. M. Clementino
and D. Hofmann.
pdf. |
| The convergence approach to exponentiable maps, Math. Portugaliae
60 (2003) 139-160, with M.M. Clementino and D. Hofmann.
pdf |
| Left-determined model categories and universal homotopy theories
Transactions American Math. Soc. 355 (2003) 13-47, with J. Rosicky'.
ps,
pdf. |
| Semi-abelian categories, J. Pure Appl. Algebra 168 (2002)
367-386, with G. Janelidze and L. Ma'rki.
ps |
| Weak factorization systems and topological functors, Appl.
Categorical Structures 10 (2002) 237-249, with J. Ada'mek, H. Herrlich,
and J. Rosicky'. ps
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| Lax Factorization Algebras J. Pure Appl. Algebra 175 (2002)
355-382 with J. Rosicky'.
ps,
pdf. |
| Injective hulls are not natural, Algebra Universalis 48 (2002)
379-388 with J. Ada'mek, H. Herrlich and J. Rosicky'.
ps |
| On a generalized Small-Object Argument for the Injective Subcategory
Problem, Cahiers Topologie Geom. Differentielle Categoriques 43
(2002) 83-106, with J. Ada'mek, H. Herrlich, and J. Rosicky'.
ps |
| Free Quillen factorization systems, Georgian J. Math. 9 (2002)
807-820, with A. Pultr.
pdf. |
| Essential weak factorization systems Contributions to General
Algebra 13 (2001) 321-333.
ps |
| Perfect Maps are exponentiable - categorically, Theory Appl.
Categories 8 (2001) 321-333, with G\"unther Richter.
ps |
| A note on local compactness, Rendiconti Ist. Mat. Univ. Trieste
Suppl. 2, 32 (2001) 17-31, with M.M. Clementino.
ps |
| Atlantis Preface
Introduction I II
III
IV V
VI VII
VIII |
General Mathematical Interest Articles
| Saunders Mac Lane 1909-2005, Meeting a Grand Leader. Scientiae
Matematicae Japonicae 19 (2006) 13-24 pdf
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| Mathematics: Beauty and the Beast. ppt
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Recent and Future Conferences
| Category Theory
2006 (CT06), White Point (Nova Scotia), 25 June - 01 July 2006,
Dalhousie University, organized by Robert Dawson, Dorette Pronk and Peter
Selinger. Presentation:
Mac Lane and
Factorizations . |
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Summer Conference on Topology and Its Applications, Satesboro GA, 6-9
July 2006, Georgia Southern University, organized by Martha Abell, Francis
Jordan, Frederic Mynard, and Sze-Man Ngai. Presentation:
Macro- and Micro-Aspects of Categorical Topology . |
| Summer School on Contemporary Categorical Methods in Algebra and
Topology, Haute-Bodeux (Belgium), 3-10 June 2007, Université
Catholique de Louvain, organized by Francis Borceux. Lectures on
Lax-algebraic methods in General Topology:
Lecture 1, Lecture 2. |
| Category Theory 2007 (CT07), Algarve (Portugal),
17-23 June, University of the
Algarve, organized by Diana Rodelo et al. Presentation:
Topology for V-categories and (T,V)-categories. |
| Categorical Methods in
Algebra, Topology and Computer Science, Coimbra (Portugal), 26-28
October 2007, University of Coimbra, organized by Maria Manuel Clementino
and Lurdes Sousa. |
| Mathematical
Applications of Category Theory, London (Ontario), 8-10 December 2007,
Special Session at the Winter Meeting of the Canadian Mathematical
Society, organized by F. William Lawvere and Walter Tholen. |
| Aspects of Contemporary Topology III, Antwerp (Belgium), 9-15 December 2007,
University of Antwerp, organized by Eva Colebunders , Bob Lowen, Mark
Sioen and Stijn Verwulgen. |
| Advances in
Set-Theoretic Topology, Erice (Sicily, Italy), 9-19 June 2008,
International School of Mathematics "G. Stampacchia", organized by Gino
Tironi et al. |
| International Category Theory Conference (CT08), Calais (France),
23-28 June 2008, Université du Littoral,
organized by Dominique Bourn and Marino Gran. Presentation: Injectivity,
exponentiability, and completeness (Slides
1-4,
5-8, 9-12,13-16,
17-20,
21-24,
25-27). |
| Conference in honour of Francis Borceux and Dominique Bourn, Brussels
(Belgium), 10-11 October 2008. Organized by Marino Gran, Rudger Kieboom
and Enrico Vitale. Presentation: On the categorical meaning of Hausdorff
and Gromov distances (Slides 0-2,
3-6,
7-11). |
| 88th Peripatetic
Seminar on Sheaves and Logic - in Honour of Martin Hyland and Peter
Johnstone, Cambridge (UK), 4-5 April 2009. Organized by Eugenia Cheng and
Andy Pitts. |
| International Conference in Category
Theory (CT09), 29 June - 4 July 2009, University of Cape Town (South
Africa). Organized by George Janelidze et al. |
| 24th Summer Conference on Topology and its Applications, Brno (Czech
Republic), 14-17 July 2009. Organized by Josef Slapal. |
| Aspects of Contemporary Topology IV, Antwerp (Belgium), 14-18 December 2009,
University of Antwerp. Organized by Eva Colebunders , Bob Lowen, Mark
Sioen. |
| Conference on Categorical
Topology, in honour of Eraldo Giuli, Ponta Delgada (Portugal), 18-20
March 2010. Organized by Margerida Dias, et al. |
| 91st
Peripatetic Seminar on Sheaves and Logic, Amsterdam (The
Netherlands), 27-28 November 2010, University of Amsterdam. Organized
by Raul Leal Rodriguez, et al. |
| AMS Sectional
Meeting (#1068), Section on Categorical Topology, Statesboro (GA),
12-13 March 2011, University of Southern Georgia. Organized by
Frederic Mynard and Gavin Seal. |
| Mathematics
Conference, Schenectady (NY), 30 April - 1 May 2011, Union
College. Organized by Susan Niefield, et al. |
| International Category Theory
Meeting (CT2011), Vancouver (BC), 18-23 July 2011, University of
British Columbia. Organized by John MacDonald, et al. |
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