Index Set ○꠹ Entries

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Index Set ○꠹｜Definition｜1st｜20251119205401-00-⌔

Index set - Wikipedia

Index set

In mathematics, an index set is a set whose members label (or index) members of another set.¹² For instance, if the elements of a set A may be indexed or labeled by means of the elements of a set J, then J is an index set. The indexing consists of a surjective function from J onto A, and the indexed collection is typically called an indexed family, often written as { A${}_j$ }${}_{j\in J}$.

Printed 2026-06-28.

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Footnotes

1. Weisstein, Eric. “Index Set”. Wolfram MathWorld. Wolfram Research. Retrieved 30 December 2013. ↩

2. Munkres, James R. (2000). Topology. Vol. 2. Upper Saddle River: Prentice Hall. ↩

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