*The original purpose of this paper was to provide suitable enriched completions of small enriched categories.*

**Author**: Eduardo J. Dubuc

**Publisher:** Springer

**ISBN:** 9783540363071

**Category:** Mathematics

**Page:** 174

**View:** 546

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# Kan Extensions in Enriched Category Theory

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Mathematics

*The original purpose of this paper was to provide suitable enriched completions of small enriched categories.*

**Author**: Eduardo J. Dubuc

**Publisher:** Springer

**ISBN:** 9783540363071

**Category:** Mathematics

**Page:** 174

**View:** 546

Mathematics

*In theory , therefore , Kan extensions could replace indexed limits as the basic " limit " notion ; we could use ( 4.8 ) to define Kan extensions without explicit mention of indexed limits , merely using ordinary limits in V O to define ...*

**Author**: G. M. Kelly

**Publisher:** CUP Archive

**ISBN:** 0521287022

**Category:** Mathematics

**Page:** 245

**View:** 578

Mathematics

*On account of this, in his much cited book on enriched category theory, Kelly reserves the name “Kan extension” for pairs satisfying the condition to be introduced shortly, calling those of our Definition 6.1.1 “weak” and writing: Our ...*

**Author**: Emily Riehl

**Publisher:** Courier Dover Publications

**ISBN:** 9780486820804

**Category:** Mathematics

**Page:** 272

**View:** 566

Mathematics

*Thus theorem 10 also illustrates that not every C-left adjoint is the extension of a B-left adjoint. References l E. Dubuc, Kan extensions in Enriched Category Theory, Springer Lecture Notes in Math. , 145 (1970).*

**Author**: K. H. Kamps

**Publisher:** Springer

**ISBN:** 9783540395508

**Category:** Mathematics

**Page:** 326

**View:** 996

Mathematics

*The problem amounts to a well-known one in the theory of V-enriched categories concerning the relationship between comma objects and pointwise kan extensions. If we naively take K to be the 2-category V-Cat then the pointwise left kan ...*

**Author**: G.M. Kelly

**Publisher:** Springer

**ISBN:** 9783540372707

**Category:** Mathematics

**Page:** 382

**View:** 901

Mathematics

*Fix an excellent model category S and a combinatorial S-enriched model category A. Let f : C → C be a functor between small ... In §A.2.8, we defined homotopy right Kan extensions in the setting of the diagram categories Fun(C,A), ...*

**Author**: Jacob Lurie

**Publisher:** Princeton University Press

**ISBN:** 9781400830558

**Category:** Mathematics

**Page:** 944

**View:** 660

Mathematics

*Six model structures for dg-modules over dgas: Model category theory in homological action. ... On the construction of functorial factorizations for model categories. Algebr. Geom. ... Kan extensions in enriched category theory.*

**Author**: Emily Riehl

**Publisher:** Cambridge University Press

**ISBN:** 9781107048454

**Category:** Mathematics

**Page:** 320

**View:** 706

Mathematics

*Day, B.J., and Kelly, G. M., Enriched Functor Categories, Rep. Midw. Cat. Sem. III, Lecture Notes in Mathematics, vol. 106, (1969), Springer-Verlag, New York, p. 178-191. Dubuc, E. , Kan Extensions in Enriched Category Theory, ...*

**Author**: J.W. Gray

**Publisher:** Springer

**ISBN:** 9783540377689

**Category:** Mathematics

**Page:** 284

**View:** 669

Computers

*Theory and Methods of Database Mappings, Programming Languages, and Semantics Zoran Majkić. by the, equivalent to it, “computation” morphism in DB ... E. Dubuc, Kan extensions in enriched category theory, in Lecture Notes in Math., vol.*

**Author**: Zoran Majkić

**Publisher:** Springer Science & Business Media

**ISBN:** 9783319041568

**Category:** Computers

**Page:** 516

**View:** 461

Mathematics

*Soc . , 67 , 1970 , 553-558 B. Day and G.M. Kelly , Enriched functor categories , Springer LNM , 137 , 1970 , 1-38 E. Dubuc , Kan extensions in enriched category theory , Springer LNM , 145 , 1970 J. Duskin , Variations on Beck's ...*

**Author**: Francis Borceux

**Publisher:** Cambridge University Press

**ISBN:** 052144179X

**Category:** Mathematics

**Page:** 464

**View:** 741