Thread: Borel sets

Hi,
here is the case. I must write an essay about Borel sets (Introduction to Measure Theory course). Taking in account I've never written any mathematical essays before, I consider this as my first research work.
So, I am a little bit confused about the structure of this work. How do you think, which are those things I must obligatory include about this topic, some essential points?

Also, I am thinking of using math article databases, can you advise any?

Begin with the definition of Borel sets.
Then proceed to give at least four or five solid examples.

Originally Posted by waytogo

Hi,
here is the case. I must write an essay about Borel sets (Introduction to Measure Theory course). Taking in account I've never written any mathematical essays before, I consider this as my first research work.
So, I am a little bit confused about the structure of this work. How do you think, which are those things I must obligatory include about this topic, some essential points?

Also, I am thinking of using math article databases, can you advise any?

I would include the, of course, important fact that every Borel set is measurable.

Originally Posted by Drexel28

I would include the, of course, important fact that every Borel set is measurable.

However, Borel sets have an existence outside measure theory.

Originally Posted by Drexel28

I would include the, of course, important fact that every Borel set is measurable.

However, Borel sets have an existence outside measure theory.

Originally Posted by Plato

However, Borel sets have an existence outside measure theory.

I am aware of this, they come up int topology sometimes. That said, the OP did mention this was for a measure theory course.