reading:topology

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reading:topology [2023-06-05 03:24] asdfreading:topology [2023-06-12 04:42] (current) – [Set Theory and Logic] corrected a typo asdf
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 ===== Notes ===== ===== Notes =====
 ==== Set Theory and Logic ==== ==== Set Theory and Logic ====
-This chapter is a review of basic mathematical concepts, beginning with set theory. One key point to keep in mind is that Munkres will occasionally disambiguate the notation $(a,b)$ as an ordered pair versus as an interval by using $a\times b$ for the latter. The text also prefers $\subset$ over $\subseteq$, emphasizing proper subsets with $\subsetneq$. I will not follow that convention in these notes. +This chapter is a review of basic mathematical concepts, beginning with set theory. One key point to keep in mind is that Munkres will occasionally disambiguate the notation $(a,b)$ as an ordered pair versus as an interval by using $a\times b$ for the former. The text also prefers $\subset$ over $\subseteq$, emphasizing proper subsets with $\subsetneq$. I will not follow that convention in these notes. 
  
 Given a function $f:A\to B$, the text defines: Given a function $f:A\to B$, the text defines:
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