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Abstract:

A connected locally connected topos is a Galois topos if the Galois objects generate the topos. We show that the full subcategory of Galois objects in any connected locally connected topos is an inversely 2-filtered 2-category, and as an application of the construction of 2-filtered bi-limits of topoi, we show that every Galois topos has a point. © Springer Science + Business Media B.V. 2008.

Registro:

Documento: Artículo
Título:2-Filteredness and the point of every Galois topos
Autor:Dubuc, E.J.
Filiación:Dpto. de Matematicas, F.C.E. y N., University of Buenos Aires, F.C.E. y N. UBA, 1428 Buenos Aires, Buenos Aires 1428, Argentina
Palabras clave:Galois topos 2-filtered; 2-categories
Año:2010
Volumen:18
Número:2
Página de inicio:115
Página de fin:121
DOI: http://dx.doi.org/10.1007/s10485-008-9145-4
Título revista:Applied Categorical Structures
Título revista abreviado:Appl Categorical Struct
ISSN:09272852
CODEN:ACASE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09272852_v18_n2_p115_Dubuc

Referencias:

  • Artin, M., Grothendieck, A., Verdier, J., SGA 4, (1963-64) (1972) Springer Lecture Notes in Mathematics, 270. , Springer, New York
  • Dubuc, E.J., On the representation theory of Galois and atomic topoi (2004) J. Pure Appl. Algebra, 186, pp. 233-275
  • Dubuc, E.J., Street, R., A construction of 2-filtered bicolimits of categories (2006) Cahiers Topologie Géom. Différentiele, 47, pp. 83-106
  • Grothendieck, A., SGA1 (1960-61) (1971) Springer Lecture Notes in Mathematics, 224. , Springer, New York
  • Makkai, M., Full continuous embeddings of toposes (1982) Trans. Amer. Math. Soc., 269, pp. 167-196
  • Moerdijk, I., Prodiscrete groups and Galois toposes (1989) Proc. Konnik Nederl. Akad. Wetensch. Ser. A Indag. Math., 92, p. 2

Citas:

---------- APA ----------
(2010) . 2-Filteredness and the point of every Galois topos. Applied Categorical Structures, 18(2), 115-121.
http://dx.doi.org/10.1007/s10485-008-9145-4
---------- CHICAGO ----------
Dubuc, E.J. "2-Filteredness and the point of every Galois topos" . Applied Categorical Structures 18, no. 2 (2010) : 115-121.
http://dx.doi.org/10.1007/s10485-008-9145-4
---------- MLA ----------
Dubuc, E.J. "2-Filteredness and the point of every Galois topos" . Applied Categorical Structures, vol. 18, no. 2, 2010, pp. 115-121.
http://dx.doi.org/10.1007/s10485-008-9145-4
---------- VANCOUVER ----------
Dubuc, E.J. 2-Filteredness and the point of every Galois topos. Appl Categorical Struct. 2010;18(2):115-121.
http://dx.doi.org/10.1007/s10485-008-9145-4