Triquotient maps via ultrafilter convergence

Proceedings of the American Mathematical Society

Volumn 130, Issue 11, 2002, Pages 3423-3431

  Clementino, Maria Manuel ^a   Hofmann, Dirk ^a  

^a UNIVERSITY OF COIMBRA   (Portugal)

Author keywords

Biquotient map; Convergent structure; Effective descent map and triquotient map

Indexed keywords

EID: 0036842627     PISSN: 00029939     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0002-9939-02-06472-9     Document Type: Conference Paper

References (13)

1. J. Adámek, H. Herrlich and G.E. Strecker, Abstract and concrete categories (Wiley Interscience, New York 1990). MR 91h:18001.
2. N. Bourbaki, Topologie Générale (Hermann, Paris 1961).
3. M.M. Clementino, On finite triquotient maps, J. Pure Appl. Algebra 168 (2002), 387-389.
4. B.J. Day and G.M. Kelly, On topological quotient maps preserved by pullbacks or products, Proc. Cambridge Philos. Soc. 67 (1970) 553-558. MR 40:8024.
5. O. Hájek, Notes on quotient maps, Comment. Math. Univ. Carolinae 7 (1966), 319-323. MR 34:1992.
6. G.M. Kelly, A unified treatment of transfinite constructions for free algebras, free monoids, colimits, associated sheaves, and so on, Bull. Austral. Math. Soc. 22 (1980) 1-83. MR 84a:18011.
7. G. Janelidze and M. Sobral, Finite preorders and topological descent, J. Pure Appl. Algebra (to appear).
8. G. Janelidze and W. Tholen, How algebraic is the change-of-base functor?, Proceedings Conference Category Theory, Como 1990, Lecture Notes in Mathematics 1488 (Springer, Berlin 1991) 174-186. MR 93f:18011.
9. E.G. Manes, A triple-theoretic construction of compact algebras, Seminar on Triples and Categorical Homology Theory, Lecture Notes in Mathematics 80 (Springer, Berlin 1969), pp. 91-118. MR 39:5657.
10. E. Michael, Bi-quotient maps and Cartesian products of quotient maps, Ann. Inst. Fourier, Grenoble 18 (1968) 287-302. MR 39:6277.
11. E. Michael, Complete spaces and tri-quotient maps, Illinois J. of Math. 21 (1977), 716-733. MR 57:7543.
12. T. Plewe, Localic triquotient maps are effective descent maps, Math. Proc. Cambridge Philos. Soc. 122 (1997), 17-43. MR 98b:54022.
13. J. Reiterman and W. Tholen, Effective descent maps of topological spaces, Top. Appl. 57 (1994), 53-69. MR 95f:18008.