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math.LO2014
A note on the computable categoricity of l^p spaces
Timothy H. McNicholl
Suppose is a computable real so that . We show that in both the real and complex case is computably categorical if and only if .
math.CV2014
Carathéodory's Theorem and moduli of local connectivity
Timothy H. McNicholl
We give a constructive proof of the Carathéodory Theorem by means of the concept of a modulus of local connectivity and the extremal distance of the separating curves of an annulus…