The natural number bialgebra

John L. Macdonald; Art Stone

Cahiers de Topologie et Géométrie Différentielle Catégoriques (1989)

  • Volume: 30, Issue: 4, page 349-363
  • ISSN: 1245-530X

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Macdonald, John L., and Stone, Art. "The natural number bialgebra." Cahiers de Topologie et Géométrie Différentielle Catégoriques 30.4 (1989): 349-363. <http://eudml.org/doc/91448>.

@article{Macdonald1989,
author = {Macdonald, John L., Stone, Art},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
keywords = {Peano axioms for the natural numbers; categories of adjunctions; distributive squares; distributive cubes; bialgebra distributive laws of monads over comonads; successor function},
language = {eng},
number = {4},
pages = {349-363},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The natural number bialgebra},
url = {http://eudml.org/doc/91448},
volume = {30},
year = {1989},
}

TY - JOUR
AU - Macdonald, John L.
AU - Stone, Art
TI - The natural number bialgebra
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 1989
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 30
IS - 4
SP - 349
EP - 363
LA - eng
KW - Peano axioms for the natural numbers; categories of adjunctions; distributive squares; distributive cubes; bialgebra distributive laws of monads over comonads; successor function
UR - http://eudml.org/doc/91448
ER -

References

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  1. 1 C. Auderset, Adjonctions et monades au niveau des 2-catégories, Cahiers Top. et Géom. Diff. XV-1 (1974), 3-20. Zbl0364.18007MR352208
  2. 2 M. Barr & J. Beck, Homology and standard constructions, Lecture Notes in Math.80, Springer (1969), 245-335. Zbl0176.29003MR258917
  3. 3 J. Beck, Distributive laws, Lecture Notes in Math.80, Springer (1969), 119-140. Zbl0186.02902MR241502
  4. 4 J.W. Gray, Formal Category Theory I: Adjointness for 2-categories, Lecture Notes in Math.391, Springer (1974). Zbl0285.18006MR371990
  5. 5 J. Lambek, Functional completeness of cartesian categories, Ann. of Math. Logic6 (1974), 259-292. Zbl0282.18004MR340366
  6. 6 J. Lambek & P. Scott, Introduction to higher order categorical logic. Cambridge Univ. Press, 1986. Zbl0596.03002MR856915
  7. 7 J. Macdonald & A. Stone, Augmented simplicial 2-objects and distributivities, Preprint (1987). 
  8. 8 J. MaDonald& A. Stone, Soft adjunction between 2-categories, J. Pure & Appl. Algebra60 (1989), 155-203. Zbl0686.18003MR1020715
  9. 9 S. Maclane, Categories for the working mathematician, Springer1971. Zbl0705.18001MR354798
  10. 10 S. Schanuel & R. Street, The free adjunction, Cahiers Top. et Géom. Diff. Catég.XXVII-1 (1986), 81-83. Zbl0592.18002MR845410
  11. 11 D. Van Osdol, Bicohomology Theory, Trans. A. M. S.183 (1973), 449-476. Zbl0277.18005MR323873

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