On the (semi)lattices induced by continuous reducibilities

Details On the (semi)lattices induced by continuous reducibilities On the (semi)lattices induced by continuous reducibilities

2009-03-12

arxiv.org/abs/0903.2177v2

Mathematical Logic Quarterly, 56(5): 488--502, 2010

Computer Science

Logic in Computer Science

this version of the paper is outdated, please consult the journal version

Scientific paper

10.1002/malq.200910104

Continuous reducibilities are a proven tool in computable analysis, and have
applications in other fields such as constructive mathematics or reverse
mathematics. We study the order-theoretic properties of several variants of the
two most important definitions, and especially introduce suprema for them. The
suprema are shown to commutate with several characteristic numbers.

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