Abstract
The locally finite topologyis defined on all nonempty subsets closed of \(X\), that is hyperspace \(2^{X}\). To a topology space, we all known that density, character and weight are the most important cardinality properties, which are effective tools to study topology space. In this paper, we study these cardinality properties of hyperspace with locally finite topology.
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Acknowledgments
This research was financially supported by the Dalian naval academy for basic research and the research project of educational reform in military academies.
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Zhang, M., Qin, Q., Liu, W. (2022). Density and Character of Hyperspace \(2^{X}\) with the Locally Finite Topology. In: Li, X. (eds) Advances in Intelligent Automation and Soft Computing. IASC 2021. Lecture Notes on Data Engineering and Communications Technologies, vol 80. Springer, Cham. https://doi.org/10.1007/978-3-030-81007-8_65
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DOI: https://doi.org/10.1007/978-3-030-81007-8_65
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