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Some concepts and elementary results from the theory of sets, the theory of ordered sets and category theory will be assumed in the chapters that follow.
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Key Phrases - Statistically Improbable Phrases (SIPs):
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total continuous functionals, first recursion theorem, algebraic epos, quotient numbering, effective functors, approximable mapping, colimiting cone, mediating morphism, partial continuous functionals, second recursion theorem, algebraic cpo, function space construction, compact elements, canonical index, applicative structure, consistent completeness, computable structure, effective numbering, topological base, projection pair, branching lemma, total recursive function, ultrametric space, least fixed point, combinatory algebra
Key Phrases - Capitalized Phrases (CAPs):
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Definition Let, Proposition Let, Corollary Let, Example Let, Proposition Suppose, Theorem Every
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