nLab Eduardo Dubuc (Rev #9)

• Website

Selected writings

On the adjoint triangle theorem:

• Eduardo Dubuc, Adjoint triangles, LNM 61 Springer (1968) 69-81

On dinatural transformations:

• Eduardo Dubuc, Ross Street, Dinatural transformations, In: Reports of the Midwest Category Seminar IV, Lecture Notes in Mathematics 137, Springer (2007) [[doi:10.1007/BFb0060443](https://doi.org/10.1007/BFb0060443)]

On Kan extensions in enriched category theory:

• Eduardo Dubuc, Kan extensions in enriched category theory, Springer Lecture Notes in Mathematics 145 (1970) xvi+173 pp.

Introducing the Dubuc topos for synthetic differential geometry:

• Eduardo Dubuc, Sur les modèles de la géométrie différentielle synthétique, Cahiers de Topologie et Geometrie Differentielle Vol. XX-3 (1979) [[numdam:CTGDC_1979__20_3_231_0](http://www.numdam.org/item?id=CTGDC_1979__20_3_231_0)]

More $C^\infty$-rings and synthetic differential geometry:

• Eduardo Dubuc, $C^\infty$-schemes Amer. J. Math. 103 (1981) [[pdf](http://www.math.ist.utl.pt/~jroquet/Dubuc.pdf) JSTOR]

• Eduardo Dubuc, Horacio Porta, Convenient categories of topological algebras, Bull. Amer. Math. Soc. 77:6 (1971), 975–979 euclid; Convenient categories of topological algebras, and their duality theory, J. Pure Appl. Alg. 1:3 (1971) 281–316.

• Marta Bunge, Eduardo Dubuc, Archimedian local $C^\infty$-rings and models of synthetic differential geometry Cahiers de Topologie et Géométrie Différentielle Catégoriques 27 no. 3 (1986) 3–22 (numdam)

• Marta Bunge, Eduardo Dubuc, Local concepts in synthetic differential geometry and germ representability, chapter in book Mathematical Logic and Theoretical Computer Science, CRC Press 1987

• E. Dubuc, Axiomatic etal maps and a theory of spectrum , JPAA 149 (2000) 15–45

On topoi:

• Eduardo J. Dubuc, G. Max Kelly, A presentation of topoi as algebraic relative to categories or graphs, J. Algebra 81 (1983) 420–433

On differential 1-forms in synthetic differential geometry:

• Eduardo J. Dubuc, Anders Kock, On 1-form classifiers, Commun. Alg. 12 (1984) 1471–1531 [[doi:10.1080/00927878408823064](https://doi.org/10.1080/00927878408823064)]

On Galois theory:

• E. J. Dubuc, Localic Galois theory, Adv. Math. 175:1 (2003) 144–167 doi

• Eduardo J. Dubuc, C. Sanchez de la Vega, On the Galois Theory of Grothendieck, arXiv:math.CT/0009145

On quasi-topoi:

• Eduardo Dubuc, Luis Español, Quasitopoi over a base category [[arXiv:math.CT/0612727](http://arxiv.org/abs/math.CT/0612727)]

On 2-category theory:

• Maria Emilia Descotte, Eduardo Dubuc, A theory of 2-pro-objects (with expanded proofs) [[arXiv:1406.5762](https://arxiv.org/abs/1406.5762)]

• Maria E. Descotte, Eduardo J. Dubuc, M. Szyld, Sigma limits in 2-categories and flat pseudofunctors, (v1:On the notion of flat 2-functors) arXiv:1610.09429 Adv. Math. 333 (2018) 266–313

On localizations of 2-categories:

• Maria E. Descotte, Eduardo J. Dubuc, M. Szyld, A localization of bicategories via homotopies, Theory and Applications of Categories 35 23 (2020) 845-874 [[tac:2020](http://tac.mta.ca/tac/volumes/35/23/35-23abs.html) MR4112764]

• Maria E. Descotte, Eduardo J. Dubuc, M. Szyld, Model bicategories and their homotopy bicategories, Adv. Math. B 404 (2022) 108455 [[arXiv:1805.07749](https://arxiv.org/abs/1805.07749) doi:10.1016/j.aim.2022.108455]

On MV-algebras:

• Eduardo J. Dubuca, Yuri A. Poveda, Representation theory of MV-algebras, Annals of Pure and Applied Logic 161:8 (2010) 1024–1046 doi

• E. J. Dubuc, Daniele Mundici, Extending Stone duality to multisets and locally finite MV-algebras, J.Pure Appl. Alg. 1891–3 (2004) 37–59

• R. Cignoli, E.J. Dubuc, D. Mundici, An MV-algebraic invariant for boolean algebras with a finite-orbit automorphism, Tatra Mount. Math. Publ, 27 (2003) 23–43

On homotopy 2-categories of model categories (in higher variation of the homotopy category of a model category):

• Eduardo J. Dubuc, Jacqueline Girabel The 2-localization of a model category, Theory and Applications of Categories 40 18 (2024) 537-574 [[arXiv:2208.00314](https://arxiv.org/abs/2208.00314), tac:40-18, pdf]

Related entries

• Dubuc topos

• C∞-rings

• synthetic differential geometry

• Galois topos

• topological algebra, Gelfand duality

• 2-pro-object, localization of a 2-category