On the indexed adjoint functor theorem:
On category-valued stacks (2-sheaves) as internal categories in a sheaf topos and the notion of weak equivalences of internal categories:
On accessible categories and categorical model theory via sketches:
On reflective factorization systems:
On 2-colimits of accessible categories (i.e. in AccCat):
Robert Paré, Embedding the Affine Group in the Projective Plane, Master’s thesis, McGill University, 1967. [pdf]
Robert Paré, A Pappus Type Theorem in the Affine Group, Canadian Mathematical Bulletin, Vol. 11, No. 4, 1968, pp. 547-554. [doi:10.4153/CMB-1968-065-5]
Robert Paré, Absoluteness Properties in Category Theory, PhD thesis, McGill University, 1969. [pdf]
Robert Paré, Absolute coequalizers, Lecture Notes in Mathematics, Vol. 86, 1969, pp. 132-145. [doi:10.1007/BFb0079387]
Robert Paré, On absolute colimits, Journal of Algebra, Vol. 19, No. 1, 1971, pp. 80-95. [doi:10.1016/0021-8693(71)90116-5]
Robert Paré, Connected components and colimits, Journal of Pure and Applied Algebra, Vol. 3, No. 1, 1973, pp. 21-42. [doi:10.1016/0022-4049(73)90003-0]
Robert Paré, Colimits in Topoi, Bulletin of the American Mathematical Society, Vol. 80, No. 3, 1974, pp. 556-561. [doi:10.1090/S0002-9904-1974-13497-X]
Robert Paré and Peter T. Johnstone (editors), Indexed Categories and Their Applications, Lecture Notes in Mathematics, Vol. 661, 1978. [doi:10.1007/BFb0061360]
Robert Paré and Dietmar Schumacher, Abstract families and the adjoint functor theorems, Lecture Notes in Mathematics, Vol. 661, 1978, pp. 1-125. [doi:10.1007/BFb0061361]
Robert Paré and William Schelter?, Finite extensions are integral, Journal of Algebra, Vol. 53, No. 2, 1978, pp. 477-479. [doi:10.1016/0021-8693(78)90293-4]
F. E. J. Linton and Robert Paré, Injectives in topoi, I: Representing coalgebras as algebras, Lecture Notes in Mathematics, Vol. 719, 1979, pp. 196–206. [doi:10.1007/BFb0065272]
P. T. Johnstone, F. E. J. Linton and Robert Paré, Injectives in Topoi, II: Connections with the axiom of choice, Lecture Notes in Mathematics, Vol. 719, 1979, pp. 207–216. [doi:10.1007/BFb0065273]
Marta Bunge and Robert Paré, Stacks and equivalence of indexed categories, Cahiers de topologie et géométrie différentielle, Vol. 20, No. 4, 1979, pp. 373-399. [cahiers]
Michael Barr and Robert Paré, Molecular toposes, Journal of Pure and Applied Algebra, Vol. 17, No. 2, 1980, pp. 127-152. [doi:10.1016/0022-4049(80)90080-8]
Robert Paré, Indexed categories and generated topologies, Journal of Pure and Applied Algebra, Vol. 19, 1980, pp. 385-400. [doi:10.1016/0022-4049(80)90107-3]
L. Grunenfelder?, Robert Paré and H. Radjavi?, On a commutator theorem of Robert C. Thompson, Linear and Multilinear Algebra, Vol. 16, No. 1-4, 1984, pp. 129-131. [doi:10.1080/03081088408817615]
Robert Paré, A topos with no geometric morphism to any Boolean one, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 97, No. 3, 1985, pp. 397-397. [doi:10.1017/S0305004100062952]
Saunders Mac Lane and Robert Paré, Coherence for bicategories and indexed categories, Journal of Pure and Applied Algebra, Vol. 37, 1985, pp. 59-80. [doi:10.1016/0022-4049(85)90087-8]
Luzius Grunenfelder? and Robert Paré, Families parametrized by coalgebras, Journal of Algebra, Vol. 107, No. 2, 1987, pp. 316-375. [doi:10.1016/0021-8693(87)90093-7]
G.M. Kelly and Robert Paré, A note on the Albert–Kelly paper “The closure of a class of colimits”, Journal of Pure and Applied Algebra, Vol. 51, No. 1-2, 1988, pp. 19-25. [doi:10.1016/0022-4049(88)90074-6]
Michael Makkai and Robert Paré, Accessible Categories: The Foundations of Categorical Model Theory, Contemporary Mathematics, Vol. 104, 1989. [doi:10.1090/conm/104]
Robert Paré, Some Applications of Categorical Model Theory, Categories in Computer Science and Logic, Contemporary Mathematics, Vol. 92, 1989, pp. . [doi:10.1090/conm/092]
Robert Paré, R. Rosebrugh and R. J. Wood, Idempotents in bicategories, Bulletin of the Australian Mathematical Society, Vol. 39, No. 3, 1989, pp. 421-434. [doi:10.1017/S0004972700003336]
Robert Paré and Leopoldo Román?, Monoidal categories with natural numbers object, Studia Logica, Vol. 48, 1989, pp. 361-376. [doi:10.1007/BF00370829]
Robert Paré, Simply Connected Limits, Canadian Journal of Mathematics, Vol. 42, No. 4, 1990, pp. 731-746. [doi:10.4153/CJM-1990-038-6]
R. Dawson and Robert Paré, Characterizing tileorders, Order, Vol. 10, 1993, pp. 111–128. [doi:10.1007/BF01111295]
Robert Dawson and Robert Paré, General associativity and general composition for double categories, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 34, No. 1, 1993, pp. 57-79. [cahiers]
Robert Paré, Universal Covering Categories, Rendiconti dell’Istituto di Matematica dell’Università di Trieste, Vol. 25, 1993, pp. 391-411. [pdf]
A. Carboni, G. Janelidze, G. M. Kelly and Robert Paré, On Localization and Stabilization for Factorization Systems, Applied Categorical Structures, Vol. 5, 1997, pp. 1–58. [doi:10.1023/A:1008620404444]
Robert Paré, A Visual Proof of Eddy and Fritsch’s Minimal Area Property, The College Mathematics Journal, Vol. 26, No. 1, 1995, pp. 43-44. [doi:10.1080/07468342.1995.11973667]
Robert Paré and Leopoldo Román?, Dinatural numbers, Journal of Pure and Applied Algebra, Vol. 128, No. 1, 1998, pp. 33-92. [doi:10.1016/S0022-4049(97)00036-4]
Marco Grandis and Robert Paré, Limits in double categories, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 40, No. 3, 1999, pp. 162-220. [cahiers]
Robert Paré, Contravariant Functors on Finite Sets and Stirling Numbers, Theory and Applications of Categories, Vol. 6, No. 5, 1999, pp. 65-76. [TAC]
Robert Dawson and Robert Paré, What is a free double category like?, Journal of Pure and Applied Algebra, Vol. 168, No. 1, 2002, pp. 19-34. [doi:10.1016/S0022-4049(01)00049-4]
Robert Dawson, Robert Paré and Dorette Pronk, Adjoining adjoints, Advances in Mathematics, Vol. 178, No. 1, 2003, pp. 99-140. [doi:10.1016/S0001-8708(02)00068-3]
Robert Dawson, Robert Paré and Dorette Pronk, Undecidability of the Free Adjoint Construction, Applied Categorical Structures, Vol. 11, 2003, pp. 403–419. [doi:10.1023/A:1025712521140]
Robert Dawson, Robert Paré and Dorette Pronk, Free extensions of double categories, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 45, No. 1, 2004, pp. 35-80. [cahiers]
Marco Grandis and Robert Paré, Adjoint for double categories, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 45, No. 3, 2004, pp. 193-240. [cahiers]
Robert Dawson, Robert Paré and Dorette Pronk, Universal properties of Span, Theory and Applications of Categories, Vol. 13, No. 4, 2004, pp. 61-85. [TAC]
Robert Dawson, Robert Paré and Dorette Pronk, Paths in double categories, Theory and Applications of Categories, Vol. 16, No. 18, 2006, pp. 460-521. [TAC]
Marco Grandis and Robert Paré, Lax Kan extensions for double categories (on weak double categories, part IV), Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 48, No. 3, 2007, pp. 163-199. [cahiers]
Marco Grandis and Robert Paré, Kan extensions in double categories (On weak double categories, Part III), Theory and Applications of Categories, Vol. 20, No. 8, 2008, pp. 152-185. [TAC]
Robert Dawson, Robert Paré and Dorette Pronk, The span construction, Theory and Applications of Categories, Vol. 24, No. 13, 2010, pp. 302-377. [TAC]
Robert Paré, Mealy Morphisms of Enriched Categories, Applied Categorical Structures, Vol. 20, 2012, pp. 251–273. [doi:10.1007/s10485-010-9238-8]
Toby Kenny? and Robert Paré, Categories as monoids in Span, Rel and Sup, Cahiers de Topologie et Géométrie Différentielle Catégoriques, Vol. 52, No. 3, 2011, pp. 209-240. [cahiers]
Robert Paré, Yoneda theory for double categories, Theory and Applications of Categories, Vol. 25, No. 17, 2011, pp. 436-489. [TAC]
Marco Grandis and Robert Paré, From cubical to globular higher categories, Diagrammes, Vol. S67-68, 2012, pp. 117-148. [journal]
Robert Paré and J. Rosický, Colimits of accessible categories, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 155, No. 1, 2013, pp. 47-50. [doi:10.1017/S0305004113000030]
Robert Paré, Composition of modules for lax functors, Theory and Applications of Categories, Vol. 27, No. 16, 2013, pp. 393-444. [TAC]
Robert Paré, Morphisms of Colimits: from Paths to Profunctors, Applied Categorical Structures, Vol. 23, 2015, pp. 1–28. [doi:10.1007/s10485-013-9357-0]
Marco Grandis and Robert Paré, Intercategories, Theory and Applications of Categories, Vol. 30, No. 38, 2015, pp. 1215-1255. [TAC]
Marco Grandis and Robert Paré, Intercategories: A framework for three-dimensional category theory, Journal of Pure and Applied Algebra, Vol. 221, No. 5, 2017, pp. 999-1054. [doi:10.1016/j.jpaa.2016.08.002]
Marco Grandis and Robert Paré, An introduction to multiple categories (On weak and lax multiple categories, I), Cahiers de topologie et géométrie différentielle catégoriques, Vol. 57, No. 2, 2016, pp. 103-159. [cahiers]
Robert Paré, Wobbly double functors, Tbilisi Mathematical Journal, Vol. 8, No. 1, 2015, pp. 63-84. [doi:10.1515/tmj-2015-0005]
Marco Grandis and Robert Paré, Limits in multiple categories (On weak and lax multiple categories, II), Cahiers de topologie et géométrie différentielle catégoriques, Vol. 57, No. 3, 2016, pp. 163-202. [cahiers]
Marco Grandis and Robert Paré, Adjoints for multiple categories (On weak and lax multiple categories, III), Cahiers de topologie et géométrie différentielle catégoriques, Vol. 58, No. 1, 2017, pp. 3-48. [cahiers]
Marco Grandis and Robert Paré, Span and cospan representations of weak double categories, Categories and General Algebraic Structures with Applications, Vol. 6, 2017, pp. 85-105. [journal]
Marco Grandis and Robert Paré, A multiple category of multiple lax categories, Cahiers de topologie et géométrie différentielle catégoriques, Vol. 58, No. 3-4, 2017, pp. 195-212. [cahiers]
Marco Grandis and Robert Paré, Persistent double limits, Cahiers de topologie et géométrie différentielle catégoriques, Vol. 60, No. 3, 2019, pp. 255-297. [cahiers]
Robert Paré, Morphisms of Rings, Joachim Lambek: The Interplay of Mathematics, Logic, and Linguistics, Outstanding Contributions to Logic, Vol. 20, 2021, pp. 271–298. [doi:10.1007/978-3-030-66545-6_8]
Robert Paré, Three Easy Pieces: Imaginary seminar talks in honour of Bob Rosebrugh, Theory and Applications of Categories, Vol. 36, No. 6, 2021, pp. 171-200. [TAC]
Robert Paré, Retrocells, 2023. [arXiv:2306.06436]
Last revised on November 8, 2023 at 07:16:09. See the history of this page for a list of all contributions to it.