ISSN:
1572-9095
Keywords:
semigroup
;
topological semigroup
;
operator semigroup
;
Ramsey theory
;
van der Waerden"s Theorem on arithmetic progressions
;
λ-calculus
;
models of the untyped λ-calculus
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1023/A:1008655708680
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