# Measure and Topology

## 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.