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   PERRYMAN, ABIGAIL; SADUN, LORENZO (August 2025, Ergodic Theory and Dynamical Systems)

   Abstract The rank of a tiling’s return module depends on the geometry of its tiles and is not a topological invariant. However, the rank of the first Čech cohomology$$\check H^1(\Omega )$$gives upper and lower bounds for the rank of the return module. For all sufficiently large patches, the rank of the return module is at most the rank of$$\check H^1(\Omega )$$. For a generic choice of tile shapes and an arbitrary reference patch, the rank of the return module is at least the rank of$$\check H^1(\Omega )$$. Therefore, for generic tile shapes and all sufficiently large patches, the rank of the return module is equal to the rank of$$\check H^1(\Omega )$$. 

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5. Big Code

   https://doi.org/10.1111/gean.12330  

   Rey, Sergio J. (June 2022, Geographical Analysis)

   Big data, the “new oil” of the modern data science era, has attracted much attention in the GIScience community. However, we have ignored the role of code in enabling the big data revolution in this modern gold rush. Instead, what attention code has received has focused on computational efficiency and scalability issues. In contrast, we have missed the opportunities that the more transformative aspects of code afford as ways to organize our science. These “big code” practices hold the potential for addressing some ill effects of big data that have been rightly criticized, such as algorithmic bias, lack of representation, gatekeeping, and issues of power imbalances in our communities. In this article, I consider areas where lessons from the open source community can help us evolve a more inclusive, generative, and expansive GIScience. These concern best practices for codes of conduct, data pipelines and reproducibility, refactoring our attribution and reward systems, and a reinvention of our pedagogy. 

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