## Measure and Topology

- Both are family of subset with properties
- measurable set is called \(\sigma\) algebra

#### Algebra

Algebra usually means system of operations like \(+\), \(\times\).

## Measure problem

- Which set can be measure?
- What makes measurable?

- How to measure?

## Topology

- Something like catergory

- countable intersections and albitary unions

- What purpose of the topology?

- Analysis, continuous function. limits of sequences.