Counter Example of L. Kuratowski Conjecture

    Nihad Abdel-Jalil

    Abstract

    A supposition made by Kuratowski is taken into account in this paper; if there are two distinct integers u and v, every R of cardinality greater than or equal to u, there exists a v element of the base that is excluded from the limitation imposed by R to its basis with the use of these v-shaped components excluded, so that the extension and the limitation imposed by R to its base respect the embedding and non-embedding inequalities, respectively? I find this a negative reply versus the previous study.

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