Measure theory

Dont worry. I am also retarded and dont understand half of the stuff I need to know for my exam on monday.

>tfw integrating k-forms on manifolds

>k-forms

disgusting

do you write the same exam as me?

first chapter of kallenberg's probability book is decent, if a little terse

>Take partition of unity
>Sum over pullbacks, via chart maps, of the partition of unity maps on the k-form.
>Do usual lebesgue or riemann integral

so hard

>implying a topology isn't just a generalized collection of rulers

>Your measure is only for the open sets

this is also wrong. Closed sets are measurable too.