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#### OhMyMarkov

##### Member

- Mar 5, 2012

- 83

Is $F^{-1}(F(E))\cap E=E$?

Thanks!

Thanks!

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- Thread starter OhMyMarkov
- Start date

- Thread starter
- #1

- Mar 5, 2012

- 83

Is $F^{-1}(F(E))\cap E=E$?

Thanks!

Thanks!

Last edited by a moderator:

It is always the case that $E\subseteq F^{-1}(F(E))$Is $F^{-1}(F(E))\cap E=E$?

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- #3

- Mar 5, 2012

- 83

Yes...It is always the case that $E\subseteq F^{-1}(F(E))$