Topological features of lax algebras

Applied Categorical Structures

Volumn 11, Issue 3, 2003, Pages 267-286

  Clementino, Maria Manuel ^a   Hofmann, Dirk ^b  

^a UNIVERSITY OF COIMBRA   (Portugal)

^b UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

(Lax) algebra; (Lax) monad; Approach space; ech Stone compactification; Quasiuniform space; Topological space; Ultrafilter monad

Indexed keywords

MAPS; SET THEORY; TOPOLOGY;

LAX ALGEBRA;

ALGEBRA;

EID: 0038379712     PISSN: 09272852     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1024274315778     Document Type: Article

References (12)

1. Adámek, J., Herrlich, H. and Strecker, G. E.: Abstract and Concrete Categories, Wiley Interscience, New York, 1990.
2. Barr, M.: Relational algebras, in Springer Lecture Notes in Math. 137, 1970, pp. 39-55.
3. Clementino, M. M. and Hofmann, D.: Triquotient maps via ultrafilter convergence, Proceedings of the American Mathematical Society 130 (2002), 3423-3431.
4. Clementino, M. M., Hofmann, D. and Tholen, W.: One setting for all: Metric, topology, uniformity, approach structure, in preparation.
5. Clementino, M. M., Hofmann, D. and Tholen, W.: The convergence approach to exponentiable maps, Portugaliae Mathematica 60 (2003), 139-159.
6. Freyd, P. J. and Scedrov, A.: Categories, Allegories, North-Holland Mathematical Library, Elsevier Science Publishers B.V., 1990.
7. Isbell, J.: Uniform Spaces, Math. Surveys 12, American Mathematical Society, 1964.
8. Johnstone, P. T.: Stone Spaces, Cambridge Studied in Advanced Mathematics 3, Cambridge University Press, Cambridge, 1982.
9. Lawvere, F. W.: Metric spaces, generalized logic, and closed categories, Rendiconti del Seminario Matematico e Fisico di Milano 43 (1973), 135-166.
10. Lowen, R.: Approach Spaces: The Missing Link in the Topology-Uniformity-Metric Triad, Oxford Mathematical Monographs, Oxford University Press, Oxford, 1997.
11. Mac Lane, S.: Categories for the Working Mathematician, 2nd edn, Springer, New York, 1998.
12. Manes, E. G.: Compact Hausdorff objects, Topology and its Applications 4 (1974), 341-360.