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Street, Ross; Wischnewsky, Manfred; Wolff, Harvey; Tholen, W.

Semi-topological functors III: Lifting of monads and adjoint functors. (English) Zbl 0428.18003

J. Pure Appl. Algebra 16, 299-314 (1980).
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Cited in 3 Reviews
Cited in 12 Documents

MSC:

18A22 Special properties of functors (faithful, full, etc.)
18A20 Epimorphisms, monomorphisms, special classes of morphisms, null morphisms
18A35 Categories admitting limits (complete categories), functors preserving limits, completions
54B30 Categorical methods in general topology
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
18A25 Functor categories, comma categories
18B30 Categories of topological spaces and continuous mappings (MSC2010)
18C15 Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads
18D05 Double categories, \(2\)-categories, bicategories and generalizations (MSC2010)
18D30 Fibered categories
18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)

Keywords:

semi-topological functors; lifting of monads; adjoint functors; algebraic functor; lax diagonal fill-in property for squares; 2-category; right extensions; lax squares

Citations:

Zbl 0413.18001; Zbl 0413.18002; Zbl 0325.18005
Cite Review PDF
Full Text: DOI

References:

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