3-Set Theory-Set Types-Subset

complement of subset

Subsets {complement, set}| {absolute complement} can have all set members that do not belong to another subset. Subsets {relative complement} can have set members that do not belong to another subset and belong to third subset.

coset

Subsets {coset, subset} can contain products of one set element times all set elements.

nested set

Sets {nested set} {nest, set} can have one set inside the other.

power set

For a set, a set {power set} can contain all subsets. For n-element sets, power sets have 2^n elements. Subset number is greater than set-member number.

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Date Modified: 2022.0225