Branches History Index

◀ ▲ ▶Branches / Topology / Chapter: Density and Countability

Chapter: Density and Countability

The discoveries of Georg Cantor (1845 - 1918) regarding cardinal numbers and the comparison of the cardinalities of the infinite sets of the natural numbers":bookofproofs$718 $\mathbb N$, the "rational numbers":[bookofproofs$1033] $\mathbb Q,$ and the real numbers $\mathbb R$ motivate defining the concepts related to density in more general, topological terms, which we will do in this chapter.

Table of Contents

  1. Definition: Dense Sets, Nowhere Dense Sets
  2. Definition: First and Second Category Sets

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

Github:
bookofproofs

References

Bibliography

  1. Steen, L.A.;Seebach J.A.Jr.: "Counterexamples in Topology", Dover Publications, Inc, 1970
  2. Jänich, Klaus: "Topologie", Springer, 2001, 7th Edition