平面上的多角分块的同调
Homology of polyomino tilings on flat surfaces
摘要：
M.里德研究了某些拓扑平铺。在平面的情况下，对于拓扑曲面上的有限正方形网格，同调群的方法，即在群中的一些特定元素的非平凡性允许一个“着色证明”的不可能性的平铺。本文证明了某些正方形拼接曲面上不存在多角拼接的几个结果。
英文摘要：
The homology group of a tiling introduced by M. Reid is studied for certain topological tilings. As in the planar case, for finite square grids on topological surfaces, the method of homology groups, namely the non-triviality of some specific element in the group allows a `coloring proof' of impossibility of a tiling. Several results about the non-existence of polyomino tilings on certain square-tiled surfaces are proved in the paper.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
