Measure and Topology
- Both are family of subset with properties
- measurable set is called \(\sigma\) algebra
Algebra usually means system of operations like \(+\), \(\times\).
- Which set can be measure?
- What makes measurable?
- How to measure?
- Something like catergory
- countable intersections and albitary unions
- What purpose of the topology?
- Analysis, continuous function. limits of sequences.