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Transformations of Antimatroid Closure Spaces Export

No. CS-98-13. (FebruaryMarch, 1998)

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anti-matroid closure-space transformation

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Investigation of the transformations of vector spaces, whose most abstract formulations are called matroids, is basic in mathematics; but transformations of discrete spaces have received relatively little attention. This paper develops the concept of transformations of discrete spaces in the context of antimatroid closure spaces. The nature of these transformations are quite different from those encountered in linear algebra because the underlying spaces are strikingly different. The...


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