nLab Marta Bunge

Marta Bunge (1938-2022) was an Argentinian-Canadian mathematician. Her research included fibered categories, stacks (with values in categories, hence 2-sheaves) and groupoids, topos theory, geometric Galois theory of covering spaces, synthetic differential topology, amongst others.

Selected writings

On categories of presheaves:

  • Marta Bunge, Categories of set valued functors, PhD thesis, University of Pennsylvania (1966) [pdf]

On internal presheaves in elementary toposes:

On category-valued stacks (2-sheaves) as internal categories in a sheaf topos, and on weak equivalences of internal categories:

See also:

  • Relative functor categories and categories of algebras, J. of Algebra 11,1 (1969) 64–101, MR236238 doi

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

  • Marta Bunge, Aurelio Carboni, The symmetric topos, J. Pure Appl. Algebra 105 (1995), no. 3, 233–249, MR96i:18004, doi

  • Marta Bunge, Steve Lack, van Kampen theorem for toposes, ps

  • Marta Bunge, Jonathan Funk, Singular coverings of toposes, Springer Lect. Notes in Math. 1890, (2006); Quasi locally connected toposes, Theory Appl. Categ. 18 (2007), No. 8, 209–239, pdf

  • Galois groupoids and covering morphisms in topos theory, Galois theory, Hopf algebras, and semiabelian categories, 131–161, Fields Inst. Commun. 43, Amer. Math. Soc. 2004, links.

  • Classifying toposes and fundamental localic groupoids, Category theory 1991 (Montreal, PQ, 1991), 75–96, CMS Conf. Proc. 13, Amer. Math. Soc. 1992.

  • Marta Bunge, Claudio Hermida, Pseudomonodacity and 2-stack completions, in Models, Logics, and Higher-Dimensional Categories, CRM Proceedings and Lecture Notes 53, pp. 29-54, Amer. Math. Soc. 2011.

  • Marta Bunge, Felipe Gago, Ana Maria San Luis, Synthetic Differential Topology, 2018, (CUP)

  • Marta Bunge reported at the category conference in Calais in June 2008 about her joint work with Claudio Hermida about some aspects of Diaconescu-type results in categorical dimension 2. Her slides from Calais can be found here. There are also some conjectural statements about higher n, with an interesting definition when an n-functor between strict n-categories should be called a fibered n-category.

category: people

Last revised on May 25, 2024 at 15:26:57. See the history of this page for a list of all contributions to it.