Keywords
- Diagram Commute
- Natural Transformation
- Monoidal Category
- Free Model
- Extra Structure
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References
S. Eilenberg and G.M. Kelly, A generalization of the functorial calculus, J. Algebra 3(1966), 366–375.
S.Eilenberg and G.M. Kelly, Closed Categories, in: Proc. Conf. on Categorical Algebra, La Jolla, 1965 (Springer-Verlag, 1966), 421–562.
D.B.A. Epstein, Functors between tensored categories, Invent. Math. 1(1966), 221–228.
G. Gentzen, Untersuchungen über das logische Schliessen I, II, Math.Z. 39(1934–1935), 176–210 and 405–431.
G.M. Kelly, Many-variable functorial calculus I. (in this volume).
G.M. Kelly, A cut-elimination theorem. (in this volume).
G.M. Kelly and S. Mac Lane, Coherence in closed categories, J. Pure and Applied Algebra 1(1971), 97–140.
G.M. Kelly and S. Mac Lane, Closed coherence for a natural transformation. (in this volume).
J. Lambek, Deductive systems and categories I. Syntactic calculus and residuated categories, Math. Systems Theory 2(1968), 287–318.
J. Lambek, Deductive systems and categories II. Standard constructions and closed categories, Lecture Notes in Mathematics 86(1969), 76–122.
F.W. Lawvere, Ordinal sums and equational doctrines, Lecture Notes in Mathematics 80(1969), 141–155.
G. Lewis, Coherence for a closed functor. (in this volume).
J.L. Mac Donald, Coherence of adjoints, associativities, and identities, Arch. Math. 19(1968), 398–401.
S. Mac Lane, Natural associativity and commutativity, Rice University Studies 49(1963), 28–46.
M.E. Szabo, Proof-theoretical investigations in categorical algebra (Ph. D. Thesis, McGill Univ., 1970).
M.E. Szabo, A categorical equivalence of proofs (to appear).
M.E. Szabo, The logic of closed categories (to appear).
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© 1972 Springer-Verlag
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Kelly, G.M. (1972). An abstract approach to coherence. In: Kelly, G.M., Laplaza, M., Lewis, G., Mac Lane, S. (eds) Coherence in Categories. Lecture Notes in Mathematics, vol 281. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0059557
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DOI: https://doi.org/10.1007/BFb0059557
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