%0 Journal Article
%T The degree structure of Weihrauch-reducibility
%A Kojiro Higuchi
%A Arno Pauly
%J Computer Science
%D 2010
%I arXiv
%R 10.2168/LMCS-9(2:2)2013
%X We answer a question by Vasco Brattka and Guido Gherardi by proving that the Weihrauch-lattice is not a Brouwer algebra. The computable Weihrauch-lattice is also not a Heyting algebra, but the continuous Weihrauch-lattice is. We further investigate the existence of infinite infima and suprema, as well as embeddings of the Medvedev-degrees into the Weihrauch-degrees.
%U http://arxiv.org/abs/1101.0112v4