The formal theory of monads II

Journal of Pure and Applied Algebra

Volumn 175, Issue 1-3, 2002, Pages 243-265

  Lack, Stephen ^a   Street, Ross ^b  

^a UNIVERSITY OF SYDNEY   (Australia)

^b MACQUARIE UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037044684     PISSN: 00224049     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-4049(02)00137-8     Document Type: Article

References (27)

1. J. Beck, Distributive laws, in: Seminar on Triples and Categorical Homology Theory, Lecture Notes in Mathematics, Vol. 80, Springer, Berlin, 1969, pp. 119-140.
2. J. Bénabou, Introduction to bicategories, Reports of the Midwest Category Seminar, Lecture Notes in Mathematics, Vol. 106, 1967, pp. 1-77.
3. R. Betti, A. Carboni, R. Street, R. Walters, Variation through enrichment, J. Pure Appl. Algebra 29 (1983) 109-127.
4. R. Blackwell, Some existence theorems in the theory of doctrines, Ph.D. Thesis, University of Sydney, 1976.
5. P.J. Freyd, G.M. Kelly, Categories of continuous functors I, J. Pure Appl. Algebra 2 (1972) 169-191.
6. C. Hermida, Representable multicategories, Adv. in Math. 151 (2000) 164-225.
7. A. Joyal, R. Street, The geometry of tensor calculus I, Adv. in Math. 88 (1991) 55-112.
8. G.M. Kelly, Basic Concepts of Enriched Category Theory, Lecture Notes in Mathematical Sciences, Lecture Note Series, Vol. 64, Cambridge University Press, Cambridge, 1982.
9. G.M. Kelly, Structures defined by finite limits in the enriched context I, Cahiers Topologie Géom. Differentielle XXIII (1982) 3-42.
10. G.M. Kelly, S. Lack, On property-like structures, Theory Appl. Categ. 3 (1997) 213-250.
11. G.M. Kelly, R.H. Street, Review of the elements of 2-categories, Sydney Category Seminar, Lecture Notes in Mathematics, Vol. 420, Springer, Berlin, 1974, pp. 75-103.
12. A. Kock, Monads for which structures are adjoint to units, J. Pure Appl. Algebra 104 (1993) 41-59.
13. S. Lack, A coherent approach to pseudomonads, Adv. in Math. 152 (2000) 179-202.
14. S. Lack, Extended distributive laws, Talk at the CT2000 Conferences at Villa Olmo, Como, Italy, July 2000.
15. S. Lack, R. Street, Addendum to the formal theory of monads, manuscript, March 2000.
16. F.W. Lawvere, Ordinal sums and equational doctrines, Seminar on Triples and Categorical Homology Theory, Lecture Notes in Mathematics, Vol. 80, Springer, Berlin, 1969, pp. 141-154.
17. F.W. Lawvere, Closed Categories, Lecture Series at Mathematisk Institut, Aarhus Universitet, February 1971.
18. T. Leinster, Ph.D. Thesis, University of Cambridge, 2000.
19. S. Montgomery, Hopf Algebras and their Actions on Rings, Number 82 in CBMS Regional Conference Series in Mathematics, American Mathematical Society, Providence, RI, 1992.
20. R. Rosebrugh, R.J. Wood, Distributive laws and factorization, J. Pure Appl. Algebra 175 (2002) 327-353.
21. R.H. Street, The formal theory of monads, J. Pure Appl. Algebra 2 (1972) 149-168.
22. R.H. Street, Limits indexed by category-valued 2-functors, J. Pure Appl. Algebra 8 (1976) 149-181.
23. R.H. Street, Fibrations in bicategories, Cahiers de Topologie Géom. Differentielle 21 (1980) 111-160.
24. M.E. Sweedler, Cohomology of algebras over Hopf algebras, Trans. Amer. Math. Soc. 133 (1968) 205-239.
25. R.J. Wood, Abstract Proarrows I, Cahiers Topologie Géom. Differentielle 23 (1982) 279-290.
26. R.J. Wood, Proarrows II, Cahiers Topologie Géom. Differentielle 26 (1985) 135-168.
27. V. Zöberlein, Doktrinen auf 2-Kategorien, Ph.D. Thesis, University of Düsseldorf, 1974.