Filling in Details for Durrett’s Proof of Theorem 1.1.4 (p. 5)
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Working notes filling in the finite-subadditivity, compactness, and endpoint details in Durrett’s proof of Theorem 1.1.4.
Durrett Waffling
An informal, dated diary of my thoughts, questions, and working notes while reading Rick Durrett's [*Probability: Theory and Examples*](https://www.cambridge.org/core/books/probability/DD9A1907F810BB14CCFF022CDFC5677A). These notes are part of my preparation for STAT5005, the qualifying examination for the PhD programme in Statistics at CUHK.Some kind of Continuity vs. Openness/Closedness of Inverse Images of a Function
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Informal notes on lower semicontinuity, motivated by Exercise 1.3.5.