Abstract
The Inclusion-Exclusion formula and interval arithmetics are used to obtain interval estimations of cardinal numbers of certain basic sets in finite topological spaces satisfying Kolmogorov’s \(T_0\) separation axiom.
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Acknowledgements
We would like to express our sincere gratitude to professor Klaus Dohmen, from the University of Applied Sciences in Mittweida, for sharing his rich experiences toward inclusion-exclusion principle and connecting important references. The first author also thanks Banavar V. Saroja, Anna Di Concilio and Tane Vergili for their many inspirational discussions and insights concerning topics related to those in this paper. We also thank the anonymous reviewers for their useful comments.
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Peters, J.F., Dochviri, I.J. (2023). Some Cardinal Estimations via the Inclusion-Exclusion Principle in Finite \(T_0\) Topological Spaces. In: Acharjee, S. (eds) Advances in Topology and Their Interdisciplinary Applications. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-99-0151-7_5
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