Hi Bruno and Russell, This is one of the reasons I am skeptical of Bruno's immaterialism:
M. A. Shtan'ko <http://www.mathnet.ru/php/person.phtml?option_lang=eng&personid=8892>
*Abstract:* We prove the theorem of Markov on the existence of an algorithmically non-recognizable combinatorial -dimensional manifold for every . We construct for the first time a concrete manifold which is algorithmically non-recognizable. A strengthened form of Markov's theorem is proved using the combinatorial methods of regular neighbourhoods and handle theory. The proofs coincide for all . We use Borisov's group  with insoluble word problem. It has two generators and twelve relations. The use of this group forms the base for proving the strengthened form of Markov's theorem.
-- Onward! Stephen "Nature, to be commanded, must be obeyed." ~ Francis Bacon -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to firstname.lastname@example.org. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.