Note on the Topologization of Polycrystal.

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  • Nakamura Shuichi
    Laboratory of Mathematical Design for Materials, Department of Materials Science and Engineering, Waseda University, Ohkubo, Shinjuku–ku, Tokyo 169
  • Konishi Tetsuji
    Laboratory of Mathematical Design for Materials, Department of Materials Science and Engineering, Waseda University, Ohkubo, Shinjuku–ku, Tokyo 169
  • Kitada Akihiko
    Laboratory of Mathematical Design for Materials, Department of Materials Science and Engineering, Waseda University, Ohkubo, Shinjuku–ku, Tokyo 169

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In our previous paper (S. Nakamura, T. Konishi and A. Kitada: J. Phys. Soc. Jpn. 64 (1995) 731), we topologized a polycrystal by labeling the axes of each single crystal within the polycrystal. In this paper, we propose another topologization of polycrystal which is independent of the labeling of the axes, and the order of the vectors in the base. This natural topologization still conserves the completeness of the polycrystal and, therefore, the existence within it of a compact set with self-similarity is still guaranteed.

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