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V-cat and V-graph. (English) Zbl 0282.18010


MSC:

18D20 Enriched categories (over closed or monoidal categories)
18A30 Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.)
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
Full Text: DOI

References:

[1] Bunge, M., Relative functor categories and categories of algebras, J. Algebra, 11, 64-101 (1969) · Zbl 0165.32902
[2] Dubuc, E., Kan Extensions in Enriched Category Theory, Lecture Notes in Math., 145 (1970), Springer: Springer Berlin · Zbl 0228.18002
[3] Duskin, J., Variations on Beck’s tripleability criterion, (Lecture Notes in Math., 106 (1969), Springer: Springer Berlin), 74-129 · Zbl 0211.32501
[4] Eilenberg, S.; Kelly, G. M., (Closed categories. Closed categories, Proc. Conf. on Categorical Algebra, La Jolla, 1965 (1966), Springer: Springer Berlin), 421-562 · Zbl 0192.10604
[5] Gabriel, P.; Zisman, M., Calculus of Fractions and Homotopy Theory (1967), Springer: Springer Berlin · Zbl 0186.56802
[6] Lawvere, F. W., Functional semantics of algebraic theories, (Ph.D. Thesis (1963), Columbia Univ: Columbia Univ New York) · Zbl 0119.25901
[7] Linton, F. E.J., Coequalizers in categories of algebras, (Lecture Notes in Math., 80 (1969), Springer: Springer Berlin), 75-90 · Zbl 0181.02902
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