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A Novel Framework for Lim-inf Convergence in Posets

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Abstract

In this paper, we give a novel framework for lim-inf convergence in posets through the concept of T0 enriched closure spaces. More precisely, we define and study Enr-convergence in T0 enriched closure spaces. Especially, we give a sufficient and necessary condition for Enr-convergence in T0 enriched closure spaces to be topological.

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Correspondence to Jing Lu.

Additional information

Supported by the National Natural Science Foundation of China (Grant Nos. 11531009, 12101383) and the Fundamental Research Funds for the Central Universities (Grant No. GK202103006)

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Zhao, B., Lu, J. A Novel Framework for Lim-inf Convergence in Posets. Acta. Math. Sin.-English Ser. 38, 953–962 (2022). https://doi.org/10.1007/s10114-022-0651-3

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  • DOI: https://doi.org/10.1007/s10114-022-0651-3

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