Some Cardinal Estimations via the Inclusion-Exclusion Principle in Finite $$T_0$$ Topological Spaces

DOI10.1007/978-981-99-0151-7_5OpenAlexW4376471499MaRDI QIDQ6047146

James F. Peters, Unnamed Author

Publication date: 9 October 2023

Published in: Advances in Topology and Their Interdisciplinary Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-99-0151-7_5

zbMATH Keywords

finite setsfinite topological spacesinterval mathematicscardinal numberinclusion-exclusion property

Mathematics Subject Classification ID

Enumerative combinatorics (05A99) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Cites Work

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• Inclusion-exclusion formulas from independent complexes
• Approximate inclusion-exclusion
• Inclusion-exclusion-Bonferroni identities and inequalities for discrete tube-like problems via Euler characteristics
• An improvement of the inclusion-exclusion principle
• Inclusion-exclusion complexes for pseudodisk collections
• Inclusion-exclusion: exact and approximate
• Improved Bonferroni inequalities via abstract tubes. Inequalities and identities of inclusion-exclusion type
• Inclusion-exclusion: Which terms cancel?
• Topological sorting of finitely near sets
• Set Partitioning via Inclusion-Exclusion
• The area of intersection of n equal circular disks
• Computable Proximity of $\ell_1$-Discs on the Digital Plane
• Simplifying Inclusion–Exclusion Formulas

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