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MATHEMATICAL TEXTS -DMUC
[vol. 35] Algumas Teorias de Galois dos Corpos e dos Anéis, FRANCIS BORCEUX, 2004, 182p.
[vol. 21] School on Category Theory and Applications, lecture notes by J. BAEZ, M. C. PEDICCHIO and V. PRATT, 1999, 161p.
[vol. 12] The Real Numbers in Pointfree Topology, BERNHARD BANASCHEWSKI, 1997, 94p.
LECTURE NOTES
PREPRINTS
2012
Marino Gran, Zurab Janelidze, Diana Rodelo and Aldo Ursini, Symmetry of regular diamonds, the Goursat property, and subtractivity. A5 booklet, PDF fileNelson Martins-Ferreira, Andrea Montoli and Manuela Sobral, Semidirect products and crossed modules in monoids with operations. A5 booklet, PDF file
2011
Javier Gutiérrez García and Jorge Picado, Insertion and extension results for point-free complete regularity. A5 booklet, PDF fileMaria Manuel Clementino, Dirk Hofmann and George Janelidze, On exponentiability of étale algebraic homomorphisms. A5 booklet, PDF file
Marino Gran and Diana Rodelo, On the characterization of Jónsson-Tarski and of subtractive varieties. A5 booklet, PDF file
J. Adámek, S. Milius, L. S. Moss and L. Sousa, Well-pointed coalgebras. PDF file
Francesca Cagliari, Maria Manuel Clementino and Sandra Mantovani, Fibrewise injectivity and Kock-Zoberlein monads. A5 booklet, PDF file
José Manuel Casas and Tim Van der Linden, A relative theory of universal central extensions. A5 booklet, PDF file
Gonçalo Gutierres and Dirk Hofmann, Approaching metric domains. A5 booklet, PDF file
Marino Gran, Zurab Janelidze and Diana Rodelo, 3x3 lemma for star-exact sequences. A5 booklet, PDF file
Manfred Hartl and Tim Van der Linden, The ternary commutator obstruction for internal crossed modules. A5 booklet, PDF file
J. Adámek, S. Milius, L. S. Moss and L. Sousa, Power-set functors and saturated trees. PDF file
Dominique Bourn and Andrea Montoli, Intrinsic Schreier-Mac Lane extension theorem II: the case of action accessible categories. A5 booklet, PDF file
Diana Rodelo and Tim Van der Linden, Higher central extensions and cohomology. A5 booklet, PDF file
Maria Manuel Clementino and Dirk Hofmann, Descent morphisms and a van Kampen Theorem in categories of lax algebras. A5 booklet, PDF file
2010
Maria Manuel Clementino and George Janelidze, A note on effective descent morphisms of topological spaces and relational algebras. A5 booklet, PDF fileBernhard Banaschewski, Javier Gutiérrez García and Jorge Picado, Extended real functions in Pointfree Topology. A5 booklet, PDF file
Nelson Martins-Ferreira and Manuela Sobral, On categories with semidirect products. A5 booklet, PDF file
Tomas Everaert, Julia Goedecke and Tim Van der Linden, Resolutions, higher extensions and the relative Mal'tsev axiom. A5 booklet, PDF file
Diana Rodelo, Internal structures in n-permutable varieties. A5 booklet, PDF file
Maria Manuel Clementino and Dirk Hofmann, On the completion monad via the Yoneda embedding in quasi-uniform spaces. A5 booklet, PDF file
Maria Manuel Clementino, A note on the categorical van Kampen Theorem. A5 booklet, PDF file
Margarida Carvalho and Lurdes Sousa, Order-preserving reflectors and injectivity. A5 booklet, PDF file
Nelson Martins-Ferreira, Weakly Mal'tsev and distributive lattices. A5 booklet, PDF file
Ignacio López Franco, Pseudo-commutativity of K-Z monads. A5 booklet, PDF file
Jorge Picado and Aleš Pultr, Notes on entourages and localic groups. A5 booklet, PDF file
Tomas Everaert and T. Van der Linden, Relative Commutator Theory in semi-abelian categories. A5 booklet, PDF file
Nelson Martins-Ferreira and T. Van der Linden, Categories vs. groupoids via generalised Mal'tsev properties. A5 booklet, PDF file
Gonçalo Gutierres, On PreLindelof metric spaces and the Axiom of Choice. A5 booklet, PDF file
Jorge Picado and Aleš Pultr, On strong inclusions and asymmetric proximities in frames. A5 booklet, PDF file
Marino Gran and Diana Rodelo, A new characterization of Goursat categories. A5 booklet, PDF file
Javier Gutiérrez García and Jorge Picado, Rings of real functions in Pointfree Topology. A5 booklet, PDF file
Dominique Bourn and Diana Rodelo, Comprehensive factorization and universal I-central extensions in the Mal'cev context. A5 booklet, PDF file
2009
Maria Manuel Clementino and Gonçalo Gutierres, On regular and homological closure operators. A5 booklet, PDF fileNelson Martins-Ferreira and T. Van der Linden, A note on two commutators. A5 booklet, PDF file
J. M. Casas, E. Khmaladze, M. Ladra and T. Van der Linden, Some results on homology of Leibniz and Lie n-algebras. A5 booklet, PDF file
J. Gutiérrez-García, I. Mardones-Pérez, Jorge Picado and M. A. de Prada Vicente, On the uniformization of L-valued frames. A5 booklet, PDF file
Tomas Everaert and Tim Van der Linden, Galois theory and commutators. A5 booklet, PDF file
Jorge Picado, On the description of frame quasi-uniformities via paircovers. A5 booklet, PDF file
Maria João Ferreira and Jorge Picado, The semicontinuous frame quasi-uniformity, revisited. A5 booklet, PDF file
Jirí Adámek and Lurdes Sousa, On quasi-equations in locally presentable categories II: a logic. A5 booklet, PDF file
José Manuel Casas and Tim Van der Linden, A relative theory of universal central extensions. A5 booklet, PDF file
Tomas Everaert and Tim Van der Linden, A note on double central extensions in exact Mal'tsev categories. A5 booklet, PDF file
Maria João Ferreira, Javier Gutiérrez García and Jorge Picado, Insertion of continuous real functions on spaces, bispaces, ordered spaces and point-free spaces - a common root. A5 booklet, PDF file
George Janelidze and Manuela Sobral, Descent for regular epimorphisms in Barr exact Goursat categories. A5 booklet, PDF file
Andrei Akhvlediani, Maria Manuel Clementino and Walter Tholen, On the categorical meaning of Hausdorff and Gromov distances, I. A5 booklet, PDF file
2008
Diana Rodelo and Tim Van der Linden, The third cohomology group classifies double central extensions. A5 booklet, PDF fileMaria João Ferreira, Javier Gutiérrez García and Jorge Picado, Completely normal frames and real-valued functions. A5 booklet, PDF file
George Janelidze and Manuela Sobral, Descent for compact 0-dimensional spaces. A5 booklet, PDF file
Gonçalo Gutierres, The Ultrafilter Closure in ZF. A5 booklet, PDF file
George Janelidze and Manuela Sobral, Profinite relational structures. A5 booklet, PDF file
Maria Manuel Clementino and Dirk Hofmann, Relative injectivity as cocompleteness for a class of distributors. A5 booklet, PDF file
Javier Gutiérrez García, Tomasz Kubiak and Jorge Picado, Localic real functions: a general setting. A5 booklet, PDF file
Lurdes Sousa, On boundedness and small-orthogonality classes. A5 booklet, PDF file
Gonçalo Gutierres and Dirk Hofmann, Sequential convergence via Galois Correspondences. PDF file
N. Martins-Ferreira, Sesquicategory: a category with a 2-cell structure. A5 booklet, PDF file
Diana Rodelo, Directions for the long exact cohomology sequence in Moore categories. A5 booklet, PDF file
2007
Javier Gutiérrez García, Tomasz Kubiak and Jorge Picado, Pointfree forms of Dowker and Michael insertion theorems. A5 booklet, PDF fileJirí Adámek, Michel Hébert and Lurdes Sousa, The orthogonal subcategory problem and the small object argument. A5 booklet, PDF file
Marino Gran and Diana Rodelo, A universal construction in Goursat categories. A5 booklet, PDF file
Margarida Dias, Priestley spaces: the threefold way. A5 booklet, PDF file
Javier Gutiérrez García, Tomasz Kubiak and Jorge Picado, Lower and upper regularizations of frame semicontinuous real functions. A5 booklet, PDF file
J. Gutiérrez García, I. Mardones-Pérez, J. Picado and M. A. de Prada Vicente, Uniform-type structures on lattice-valued spaces and frames. A5 booklet, PDF file
Maria Manuel Clementino and Dirk Hofmann, Lawvere completeness in Topology. PDF file
Jirí Adámek, Manuela Sobral and Lurdes Sousa, A logic of implications in algebra and coalgebra. A5 booklet, PDF file
Gonçalo Gutierres, On countable choice and sequential spaces. A5 booklet, PDF file
Javier Gutiérrez García, Tomasz Kubiak and Jorge Picado, Monotone insertion and monotone extension of frame homomorphisms. A5 booklet, PDF file
Jorge Picado, Aleš Pultr and Anna Tozzi, Ideals in Heyting semilattices and open homomorphisms. A5 booklet, PDF file
2006
F. Borceux, M. M. Clementino, M. Gran and L. Sousa, Prolocalisations of homological categories. A5 booklet, PDF fileMaria Manuel Clementino, Dirk Hofmann and Isar Stubbe, Exponentiable functors between quantaloid-enriched categories. A5 booklet, PDF file
Jirí Adámek, Michel Hébert and Lurdes Sousa, A logic of orthogonality. A5 booklet, PDF file
Maria Manuel Clementino and Dirk Hofmann, On some special classes of continuous maps. A5 booklet, PDF file
Maria João Ferreira and Jorge Picado, Point-finiteness in pointfree topology. A5 booklet, PDF file
Jirí Adámek, Michel Hébert and Lurdes Sousa, A logic of injectivity. A5 booklet, PDF file
Jorge Picado and Aleš Pultr, Sublocale sets and sublocale lattices. A5 booklet, PDF file
Isar Stubbe, Categorical structures enriched in a quantaloid: tensored and cotensored categories. A5 booklet, PDF file
Isar Stubbe, More on Q-modules. A5 booklet, PDF file
J. Gutiérrez García and Jorge Picado, On the algebraic representation of semicontinuity. A5 booklet, PDF file
2005
Jirí Adámek, Manuela Sobral and Lurdes Sousa, Logic of implications. A5 booklet, PDF fileMaria Manuel Clementino, Dikran Dikranjan and Walter Tholen, Torsion theories and radicals in normal categories. A5 booklet, PDF file
Gonçalo Gutierres and Dirk Hoffman, Axioms for sequential convergence. A5 booklet, PDF file
Margarida Dias and Manuela Sobral, Descent for Priestley Spaces. A5 booklet, PDF file
2004
Jirí Adámek, Manuela Sobral and Lurdes Sousa, Morita equivalence of many-sorted algebraic theories. A5 booklet, PDF fileF. Borceux and Maria Manuel Clementino, Topological protomodular algebras. A5 booklet, PDF file
Jorge Picado, A new look at localic interpolation theorems. A5 booklet, PDF file
Diana Rodelo, Moore categories. A5 booklet, PDF file
2003
Maria João Ferreira and Jorge Picado, The semicontinuous quasi-uniformity of a frame. A5 booklet, PDF fileMaria Manuel Clementino and Dirk Hofmann, On extensions of lax monads. PDF file
Jirí Adámek and Lurdes Sousa, On reflective subcategories of varieties. A5 booklet, PDF File
F. Borceux and Maria Manuel Clementino, Topological semi-abelian algebras. A5 booklet, PDF file
Maria Manuel Clementino, Dirk Hofmann and George Janelidze, Local homeomorphisms via ultrafilter convergence. A5 booklet, PDF file
Maria João Ferreira and Jorge Picado, Functorial quasi-uniformities on frames. A5 booklet, PDF file
Gonçalo Gutierres, On first and second countable spaces and the axiom of choice. A5 booklet, PDF file
Maria João Ferreira and Jorge Picado, A method of constructing compatible quasi-uniformities for an arbitrary frame. A5 booklet, PDF file
Manuela Sobral, Descent for discrete (co)fibrations. A5 booklet, PDF file
Maria Manuel Clementino, Dirk Hofmann and Walter Tholen, Exponentiability in categories of lax algebras. A5 booklet, PDF file
2002
[02-25] Lurdes Sousa, On projective E-generators and premonadic functors. PDF file[02-20] Maria Manuel Clementino and Dirk Hofmann, Effective descent morphisms in categories of lax algebras. PDF file
[02-12] Gonçalo Gutierres, Sequential topological conditions in R in the absence of the axiom of choice. PostScript file
[02-10] Jirí Adámek and Lurdes Sousa, How accessible are categories of algebras?. PostScript file
2001
[01-28] Lurdes Sousa, Pushout stability of embeddings, injectivity and categories of algebras. PostScript file[01-16] Jirí Adámek, Robert El Bashir, Manuela Sobral and Jirí Velebil, On functors which are lax epimorphisms. PostScript file
[01-10] Maria Manuel Clementino and Walter Tholen, Metric, Topology and Multicategory - A Common Approach. PostScript file
[01-09] Maria Manuel Clementino and Dirk Hofmann, Topological features of lax algebras. PostScript file
[01-07] Marino Gran, Commutators and central extensions in universal algebra. PostScript file
[01-05] Dominique Bourn and Marino Gran, Centrality and connectors in Maltsev categories. PostScript file
[01-02] Marino Gran, Algebraically central and categorically central extensions. PostScript file
2000
[00-39] Maria João Ferreira and Jorge Picado, The Galois approach to uniform structures. PostScript file[00-37] Lurdes Sousa, On the pullback stability of a quotient map with respect to a closure operator. PostScript file
[00-36] Jorge Picado, The quantale of Galois connections. PostScript file
[00-33] George Janelidze and Manuela Sobral, Finite preorders and topological descent II: étale descent. PostScript file
[00-28] Maria Manuel Clementino and Dirk Hofmann, On limit stability of special classes of continuous maps. PostScript file
[00-26] Maria Manuel Clementino, Dirk Hofmann and Walter Tholen, The Convergence Approach to Exponentiable Maps. PostScript file
[00-22] Maria Manuel Clementino and Dirk Hofmann, Triquotient maps via ultrafilter convergence. PostScript file
[00-15] Maria Manuel Clementino, On finite triquotient maps. PostScript file
[00-08] Jorge Picado, Some remarks on complete congruence lattices of join-infinite distributive lattices. PostScript file
[00-02] Jorge Picado, The gauge of a uniform frame. PostScript file
1999
[99-22] Dirk Hofmann, On a generalization of the Stone-Weierstrass Theorem. PostScript file[99-21] Gonçalo Gutierres, On coregular closure operators. PostScript file
[99-10] George Janelidze and Manuela Sobral, Finite preorders and topological descent. PostScript file
[99-06] Jiri Adámek, Lurdes Sousa and Walter Tholen, Totality of product completions. PostScript file
1998
[98-23] Worthen Hunsaker and Jorge Picado, A note on total boundedness. PostScript file[98-21] Maria Manuel Clementino and Walter Tholen, A note on local compactness. PostScript file
[98-19] Dirk Hofmann, Natural Dualities. PostScript file
[98-18] Worthen Hunsaker and Jorge Picado, Frames with transitive structures. PostScript file
[98-15] Dali Zangurashvili, Adjunctions and locally transferable factorization systems .
[98-13] Maria Manuel Clementino, On connectedness via closure operators. PostScript file
[98-11] Manuela Sobral, Another approach to topological descent theory. PostScript file
1997
[97-19] Jiri Adámek and Lurdes Sousa, Constructions of solid hulls.[97-11] Maria Manuel Clementino, Eraldo Giuli and Walter Tholen, What is a quotient map with respect to a closure operator?
[97-01] Jorge Picado, Two theorems of Efremovic in pointfree context.
1996
[96-14] Jorge Picado, Structured frames by Weil entourages.[96-07] Maria Manuel Clementino and Walter Tholen, Separated and connected maps.
[96-06] Lurdes Sousa, Note on multisolid categories.
[96-02] Maria Manuel Clementino and Walter Tholen, Separation versus Connectedness.
1995
[95-21] Jorge Picado, Weil nearnesses for frames and spaces.[95-18] Maria Manuel Clementino, On categorical notions of compact objects.
[95-07] Maria Manuel Clementino, On connectedness and disconnectedness.
[95-02] Jorge Picado, Frame quasi-uniformities by entourages.
[95-01] Maria Manuel Clementino, Eraldo Giuli and Walter Tholen, Compact objects and perfect morphisms
1994
[94-09] Lurdes Sousa, alpha-sober spaces via the orthogonal closure operator.[94-08] Manuela Sobral, Some aspects of topological descent.
[94-07] Jorge Picado, On extended frames.
[94-06] Maria Manuel Clementino, Constant morphisms and constant subcategories.
[94-05] Jorge Picado, Weil uniformities for frames.
[94-03] Lurdes Sousa, Orthogonality and closure operators.
You can request a copy by sending an e-mail to
Dr. Jorge Picado