Infinitary addition, real numbers, and taut monads

DOI10.1007/s10485-018-9524-4zbMath1480.18006OpenAlexW2800139989WikidataQ60359352 ScholiaQ60359352MaRDI QIDQ1794282

George Janelidze, Ross H. Street

Publication date: 15 October 2018

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-018-9524-4

zbMATH Keywords

monoidal categorysummationcommutative monoidtaut monadlextensive categorypositive realscardinal algebrainfinitary additionseries monoid

Mathematics Subject Classification ID

Commutative semigroups (20M14) Connections of semigroups with homological algebra and category theory (20M50) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Infinitary algebras (08A65) General summability methods (40C99)

Cites Work

• Alexandrov compactification of relational algebras
• Introduction to extensive and distributive categories
• Taut monads and \(T0\)-spaces.
• The monads of classical algebra are seldom weakly Cartesian
• Real sets
• Implementing collection classes with monads
• Connected limits, familial representability and Artin glueing
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