nLab
bagdomain topos

Contents

Context

Topos Theory

topos theory

Background

Toposes

Internal Logic

Topos morphisms

Extra stuff, structure, properties

Cohomology and homotopy

In higher category theory

Theorems

Contents

Idea

The bagdomain topos construction is the topos analogue of the powerdomain construction in domain-theoretic database theory. Roughly speaking, an object XX is replaced by an object XX' such that points of XX' correspond to sets (=‘bags’) of points of XX.

References

  • Marta Bunge, Jonathon Funk, Spreads and the Symmetric Topos , JPAA 113 (1996) pp.1-38.

  • Marta Bunge, Jonathon Funk, Spreads and the Symmetric Topos II , JPAA 130 (1998) pp.49-84.

  • Marta Bunge, Jonathon Funk, Singular Coverings of Toposes , Springer LNM 1890 Heidelberg 2006.

  • M. Jibladze, Lower Bagdomain as a Glueing , Proc. A. Razmadze Math. Inst. 118 (1998) pp.33-41. (pdf)

  • Peter Johnstone, Partial Products, Bagdomains and Hyperlocal Toposes , pp.315-339 in Fourman, Johnstone, Pitts (eds.), Applications of Categories in Computer Science - Proceedings of the LMS Symposium Durham 1991 , Cambridge UP 1992.

  • Peter Johnstone, Variations on the Bagdomain Theme , Theo. Comp. Sci. 136 (1994) pp.3-20.

  • Peter Johnstone, Sketches of an Elephant I , Oxford UP 2002. (sec. B4.4, pp.448-456)

  • Steve Vickers, Geometric Theories and Databases , pp.288-314 in Fourman, Johnstone, Pitts (eds.), Applications of Categories in Computer Science - Proceedings of the LMS Symposium Durham 1991 , Cambridge UP 1992. (preprint)

Last revised on June 6, 2018 at 06:37:07. See the history of this page for a list of all contributions to it.