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G. Janelidze, R. Street (2017)
Real setsTbilisi Mathematical Journal, 10
(1980)
Axiomatic infinite sums—an algebraic approach to integration theory
A. Möbus (1983)
Alexandrov compactification of relational algebrasArchiv der Mathematik, 40
M. Clementino, Dirk Hofmann, G. Janelidze (2014)
The monads of classical algebra are seldom weakly cartesianJournal of Homotopy and Related Structures, 9
A. Carboni, P. Johnstone (1995)
Connected limits, familial representability and Artin glueingMathematical Structures in Computer Science, 5
H. Pitt (1951)
Divergent SeriesNature, 167
G. Kangro (1976)
Theory of summability of sequences and seriesJournal of Soviet Mathematics, 5
A Tarski (1949)
Cardinal Algebras
A. Carboni, Stephen Lack, R. Walters (1993)
Introduction to extensive and distributive categoriesJournal of Pure and Applied Algebra, 84
G Kangro (1974)
Theory of summability of sequences and seriesMath. Anal., 12
(1956)
Ordinal Algebras
E. Manes (2002)
Taut Monads and T0-spacesTheor. Comput. Sci., 275
D. Higgs (1978)
A universal characterization of [0,∞], 81
(1998)
Implementing collection classeswithmonads.Math
We make various observations on infinitary addition in the context of the series monoids introduced in our previous paper on real sets. In particular, we explore additional conditions on such monoids suggested by Tarski’s Arithmetic of Cardinal Algebras, and present a monad-theoretic construction that generalizes our construction of paradoxical real numbers.
Applied Categorical Structures – Springer Journals
Published: Apr 18, 2018
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