Many people first learn about topology as a generalization of a metric space. We can observe that the open sets of a metric space obey three rules: The entire space is open, as well as the empty set The intersection of finitely many open sets is open The arbitrary union of open sets is openContinue reading “An attempt to motivate the definition of a topology.”
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The CoBook
Well, this is my attempt at a blog. This is going to be a mostly for fun repository of miscellaneous math stuff, so please nobody get angry at me if I say something dumb. The title is a reference to “The Book,” which is a collection of the most elegant proofs to all math problemsContinue reading “The CoBook”