Abstract
It is sometimes helpful to split a nonempty set into disjoint smaller pieces. For example, we might have reason to split the integers into positive integers, negative integers, and the set containing zero alone. We often split the real numbers into rational numbers and irrational numbers, or we might want to break ℝ2 down into distinct vertical lines. All of these are examples of partitioning a space.
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© 2011 Springer Science+Business Media, LLC
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Daepp, U., Gorkin, P. (2011). Partitions. In: Reading, Writing, and Proving. Undergraduate Texts in Mathematics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-9479-0_11
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DOI: https://doi.org/10.1007/978-1-4419-9479-0_11
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