This article is cited in 1 scientific paper (total in 1 paper)
To the Markov theorem on algorithmic nonrecognizability of manifolds
M. A. Shtan'ko
Steklov Mathematical Institute, Russian Academy of Sciences
We prove that the number of summands in the connected union of product of spheres which is algorithmically nonrecognizable, as was shown earlier, can be reduced to 14. Also, we note that the manifold constructed by Markov himself in his original work on topological nonrecognizability coincides with such union (where the number of summands is equal to the quantity of relations in group representations of the corresponding Adian sequence).
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Journal of Mathematical Sciences (New York), 2007, 146:1, 5622–5623
M. A. Shtan'ko, “To the Markov theorem on algorithmic nonrecognizability of manifolds”, Fundam. Prikl. Mat., 11:5 (2005), 257–259; J. Math. Sci., 146:1 (2007), 5622–5623
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\paper To the Markov theorem on algorithmic nonrecognizability of manifolds
\jour Fundam. Prikl. Mat.
\jour J. Math. Sci.
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