Titlebook: Combinatorial Functors; J. N. Crossley,Anil Nerode Book 1974 Springer-Verlag Berlin Heidelberg 1974 Excel.Finite.Kombinatorischer Funktor.

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Combinatorial Functions,In an important special case a particular class of combinatorial functors, the strict combinatorial functors, play a most important role. This section describes the special case and establishes the basic properties of strict functors; such as existence, extent of uniqueness and closure under composition.

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Identities,We now begin our investigations of properties which hold for “almost all” . in ℂ or which hold “uniformly on a neighbourhood”. Nerode’s combinatorial series [1966] generalized Myhill’s combinatorial functions [1958]. We generalize combinatorial series from . to other categories but first we need to do some topology.

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Sound Values,In this section we assume that ℂ′ = ℂ(.′) is suitable and has dimension and .′ has degree 1.

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