An Illustration of the Power of Structure Theory

Karl H. Hofmann
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Karl H. Hofmann: Technische Universität Darmstadt, Fachbereich Mathematik

A chapter in Papers in Honour of Bernhard Banaschewski, 2000, pp 145-160 from Springer

Abstract: Abstract There is a hierarchy of concepts of compact semigroups according to the degree of continuity of their multiplications: One-sided continuity, separate continuity, continuity. Each level of generality has its own fields of application and its own peculiarities. This is illustrated in a discussion of three seemingly rather unrelated examples from different branches of mathematics: number theory, functional analysis, logic.

Keywords: semigroup; topological semigroup; operator semigroup; Ramsey theory; van der Waerden’s Theorem on arithmetic progressions; λ-calculus; models of the untyped λ-calculus.; Primary: 20M10; 22A15; Secondary: 11B25; 11P81; 22A25; 47D03; 68Q60; 06B35 (search for similar items in EconPapers)
Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-2529-3_8

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DOI: 10.1007/978-94-017-2529-3_8

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