Abstract
Let \(SC_{k_i}^{n_i, l_i}\) be a simple closed k i -curve in \({\bf Z}^{n_i}\) with l i elements, i ∈ {1, 2}. After doing a \((3^{n_1+n_2}-1)\)-homotopic thinning of \(SC_{k_1}^{n_1, l_1}\times SC_{k_2}^{n_2, l_2}\) to obtain a closed \((3^{n_1+n_2}-1)\)-surface, we calculate the \((3^{n_1+n_2}-1)\)-fundamental group of \(SC_{k_1}^{n_1, l_1}\times SC_{k_2}^{n_2, l_2}\) by the use of some properties of an \((8, 3^{n_1+n_2}-1)\)-covering.
AMS Classification: 52XX, 52B05, 52Cxx, 57M05, 55P10, 57M10.
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Han, SE. (2006). Discrete Homotopy of a Closed k-Surface. In: Reulke, R., Eckardt, U., Flach, B., Knauer, U., Polthier, K. (eds) Combinatorial Image Analysis. IWCIA 2006. Lecture Notes in Computer Science, vol 4040. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11774938_17
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DOI: https://doi.org/10.1007/11774938_17
Publisher Name: Springer, Berlin, Heidelberg
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