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Math Help - Borel sets

  1. #1
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    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?
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  2. #2
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    Begin with the definition of Borel sets.
    Then proceed to give at least four or five solid examples.
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  3. #3
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by waytogo View Post
    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.
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  4. #4
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    Quote Originally Posted by Drexel28 View Post
    I would include the, of course, important fact that every Borel set is measurable.
    However, Borel sets have an existence outside measure theory.
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  5. #5
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    Quote Originally Posted by Drexel28 View Post
    I would include the, of course, important fact that every Borel set is measurable.
    However, Borel sets have an existence outside measure theory.
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  6. #6
    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by Plato View Post
    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.
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