Processing math: 10%

Definition: Index Set and Set Family

Let X be an arbitrary set, and let I be a non-empty set, called the index set. A sets family X_{i}{\text{ , }}i\in I is a map I\to \mathcal P(X), where \mathcal P(X) is the power set of X.

Notes

Corollaries: 1
Definitions: 2 3 4 5 6 7 8 9 10 11 12 13 14
Proofs: 15 16 17 18
Propositions: 19


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs
non-Github:
@Brenner


References

Adapted from CC BY-SA 3.0 Sources:

  1. Brenner, Prof. Dr. rer. nat., Holger: Various courses at the University of Osnabrück