Effective Descent Morphisms in Categories of Lax Algebras

1. Bourbaki, N.: Topologie Générale, Hermann, Paris, 1961.

   Google Scholar 

2. Clementino, M. M. and Hofmann, D.: Triquotient maps via ultrafilter convergence, Proc. Amer. Math. Soc. 130 (2002), 3423–3431.

   Google Scholar 

3. Clementino, M. M. and Hofmann, D.: Topological features of lax algebras, Appl. Categ. Structures 11 (2003), 267–286.

   Google Scholar 

4. Clementino, M. M. and Hofmann, D.: On extensions of lax monads, Theory Appl. Categories (to appear).

5. Clementino, M. M., Hofmann, D. and Tholen, W.: Exponentiability in categories of lax algebras, Theory Appl. Categories 11 (2003), 337–352.

   Google Scholar 

6. Clementino, M. M. and Tholen, W.: Metric, topology and multicategory – a common approach, J. Pure Appl. Algebra 179 (2003), 13–47.

   Google Scholar 

7. Hájek, O.: Notes on quotient maps, Comment. Math. Univ. Carolinae 7 (1966), 319–323.

   Google Scholar 

8. Janelidze, G. and Sobral, M.: Finite preorders and topological descent I, J. Pure Appl. Algebra 175 (2002), 187–205.

   Google Scholar 

9. Janelidze, G. and Tholen, W.: Facets of descent I, Appl. Categ. Structures 2 (1994), 245–281.

   Google Scholar 

10. Lawvere, F. W.: Metric spaces, generalized logic, and closed categories, Rend. Sem. Mat. Fis. Milano 43 (1973), 135–166.

    Google Scholar 

11. Moerdijk, I.: Descent theory for Toposes, Bull. Soc. Math. Belgique 41 (1989), 373–391.

    Google Scholar 

12. Moerdijk, I.: Descent for proper maps of topological spaces, Manuscript, 1990.

13. Reiterman, J. and Tholen, W.: Effective descent maps of topological spaces, Topology Applications 57 (1994), 53–69.

    Google Scholar 

14. Sobral, M. and Tholen, W.: Effective descent morphisms and effective equivalence relations, in Category Theory 1991, CMS Conference Proceedings 13, Amer. Math. Soc., Providence, RI, 1992, pp. 421–432.

    Google Scholar 

Download references