Tags » 245A - Real Analysis
This is going to be a somewhat experimental post. In class, I mentioned that when solving the type of homework problems encountered in a graduate real analysis course, there are really only about a dozen or so basic tricks and techniques that are used over and over again. 5,544 more words
The following question came up in my 245A class today:
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Is it possible to express a non-closed interval in the real line, such as [0,1), as a countable union of disjoint closed intervals?
Thus far, we have only focused on measure and integration theory in the context of Euclidean spaces . Now, we will work in a more abstract and general setting, in which the Euclidean space is replaced by a more general space . 8,733 more words